1065264480 has 192 divisors, whose sum is σ = 4261178880. Its totient is φ = 243482112.

The previous prime is 1065264463. The next prime is 1065264539. The reversal of 1065264480 is 844625601.

1065264480 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 2 + 644 + 8 + 0 = 666.

It is a super-2 number, since 2×1065264480² = 2269576824699340800, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12627 + ... + 47853.

It is an arithmetic number, because the mean of its divisors is an integer number (22193640).

Almost surely, 2^1065264480 is an apocalyptic number.

1065264480 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 1065264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130589440).

1065264480 is an abundant number, since it is smaller than the sum of its proper divisors (3195914400).

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

1065264480 is a wasteful number, since it uses less digits than its factorization.

1065264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35258 (or 35244 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1065264480 is about 32638.3896661585. The cubic root of 1065264480 is about 1021.2980015061.

The spelling of 1065264480 in words is "one billion, sixty-five million, two hundred sixty-four thousand, four hundred eighty".