1064281680 has 640 divisors, whose sum is σ = 4685414400. Its totient is φ = 218350080.

The previous prime is 1064281639. The next prime is 1064281681. The reversal of 1064281680 is 861824601.

1064281680 is a `hidden beast` number, since 1 + 0 + 642 + 8 + 1 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×1064281680² = 2265390988767244800, which contains 22 as substring.

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 (1064281681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13471881 + ... + 13471959.

It is an arithmetic number, because the mean of its divisors is an integer number (7320960).

Almost surely, 2^1064281680 is an apocalyptic number.

1064281680 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 1064281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342707200).

1064281680 is an abundant number, since it is smaller than the sum of its proper divisors (3621132720).

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

1064281680 is an equidigital number, since it uses as much as digits as its factorization.

1064281680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1064281680 is about 32623.3303021013. The cubic root of 1064281680 is about 1020.9838258468.

The spelling of 1064281680 in words is "one billion, sixty-four million, two hundred eighty-one thousand, six hundred eighty".