1056615840 has 480 divisors, whose sum is σ = 4493301120. Its totient is φ = 228427776.

The previous prime is 1056615839. The next prime is 1056615851. The reversal of 1056615840 is 485166501.

1056615840 is a `hidden beast` number, since 1 + 0 + 566 + 1 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1056615840² = 2232874066677811200, 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 = 1056615795 and 1056615804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723374 + ... + 1723986.

It is an arithmetic number, because the mean of its divisors is an integer number (9361044).

Almost surely, 2^1056615840 is an apocalyptic number.

1056615840 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 1056615840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246650560).

1056615840 is an abundant number, since it is smaller than the sum of its proper divisors (3436685280).

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

1056615840 is a wasteful number, since it uses less digits than its factorization.

1056615840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1056615840 is about 32505.6278204252. The cubic root of 1056615840 is about 1018.5265923853.

The spelling of 1056615840 in words is "one billion, fifty-six million, six hundred fifteen thousand, eight hundred forty".