1056136320 has 192 divisors, whose sum is σ = 3782600640. Its totient is φ = 281594880.

The previous prime is 1056136313. The next prime is 1056136327. The reversal of 1056136320 is 236316501.

1056136320 is a `hidden beast` number, since 10 + 5 + 6 + 13 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1056136313) and next prime (1056136327).

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

It is a super-2 number, since 2×1056136320² = 2230847852846284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056136327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152125 + ... + 158915.

It is an arithmetic number, because the mean of its divisors is an integer number (19701045).

Almost surely, 2^1056136320 is an apocalyptic number.

1056136320 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 1056136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891300320).

1056136320 is an abundant number, since it is smaller than the sum of its proper divisors (2726464320).

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

1056136320 is an frugal number, since it uses more digits than its factorization.

1056136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1056136320 is about 32498.2510298631. The cubic root of 1056136320 is about 1018.3724910379.

The spelling of 1056136320 in words is "one billion, fifty-six million, one hundred thirty-six thousand, three hundred twenty".