1056735504 has 320 divisors, whose sum is σ = 3565486080. Its totient is φ = 296110080.

The previous prime is 1056735469. The next prime is 1056735569. The reversal of 1056735504 is 4055376501.

1056735504 is a `hidden beast` number, since 10 + 567 + 35 + 50 + 4 = 666.

It is a super-2 number, since 2×1056735504² = 2233379850828268032, 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8320689 + ... + 8320815.

It is an arithmetic number, because the mean of its divisors is an integer number (11142144).

Almost surely, 2^1056735504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056735504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782743040).

1056735504 is an abundant number, since it is smaller than the sum of its proper divisors (2508750576).

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

1056735504 is a wasteful number, since it uses less digits than its factorization.

1056735504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1056735504 is about 32507.4684341922. The cubic root of 1056735504 is about 1018.5650410376.

The spelling of 1056735504 in words is "one billion, fifty-six million, seven hundred thirty-five thousand, five hundred four".