1056002688 has 192 divisors, whose sum is σ = 3308104800. Its totient is φ = 321398784.

The previous prime is 1056002671. The next prime is 1056002699. The reversal of 1056002688 is 8862006501.

It is a happy number.

1056002688 is a `hidden beast` number, since 10 + 560 + 0 + 2 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1056002688² = 2230283354126450688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602103 + ... + 1602761.

Almost surely, 2^1056002688 is an apocalyptic number.

1056002688 is a gapful number since it is divisible by the number (18) 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 1056002688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654052400).

1056002688 is an abundant number, since it is smaller than the sum of its proper divisors (2252102112).

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

1056002688 is a wasteful number, since it uses less digits than its factorization.

1056002688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1056002688 is about 32496.1949772585. The cubic root of 1056002688 is about 1018.3295379676.

The spelling of 1056002688 in words is "one billion, fifty-six million, two thousand, six hundred eighty-eight".