1056291840 has 308 divisors, whose sum is σ = 3812480184. Its totient is φ = 280682496.

The previous prime is 1056291839. The next prime is 1056291913. The reversal of 1056291840 is 481926501.

1056291840 is a `hidden beast` number, since 1 + 0 + 562 + 91 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×1056291840² = 2231504902501171200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1056291795 and 1056291804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3732339 + ... + 3732621.

It is a vampire number, since it can be written as 12960 ⋅ 81504 (with its own digits).

Almost surely, 2^1056291840 is an apocalyptic number.

1056291840 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 1056291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906240092).

1056291840 is an abundant number, since it is smaller than the sum of its proper divisors (2756188344).

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

1056291840 is an frugal number, since it uses more digits than its factorization.

1056291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1056291840 is about 32500.6436859334. The cubic root of 1056291840 is about 1018.4224749631.

The spelling of 1056291840 in words is "one billion, fifty-six million, two hundred ninety-one thousand, eight hundred forty".