1064741760 has 640 divisors, whose sum is σ = 4265395200. Its totient is φ = 251817984.

The previous prime is 1064741759. The next prime is 1064741767. The reversal of 1064741760 is 671474601.

1064741760 is a `hidden beast` number, since 1 + 0 + 647 + 4 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1064741760² = 2267350030975795200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064741767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22654057 + ... + 22654103.

It is an arithmetic number, because the mean of its divisors is an integer number (6664680).

Almost surely, 2^1064741760 is an apocalyptic number.

1064741760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132697600).

1064741760 is an abundant number, since it is smaller than the sum of its proper divisors (3200653440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1064741760 is a wasteful number, since it uses less digits than its factorization.

1064741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1064741760 is about 32630.3809355637. The cubic root of 1064741760 is about 1021.1309255530.

The spelling of 1064741760 in words is "one billion, sixty-four million, seven hundred forty-one thousand, seven hundred sixty".