1056913920 has 240 divisors, whose sum is σ = 3798194400. Its totient is φ = 281677824.

The previous prime is 1056913909. The next prime is 1056913927. The reversal of 1056913920 is 293196501.

1056913920 is a `hidden beast` number, since 1 + 0 + 569 + 1 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1056913920² = 2234134068579532800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1056913927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621231 + ... + 622929.

It is an arithmetic number, because the mean of its divisors is an integer number (15825810).

Almost surely, 2^1056913920 is an apocalyptic number.

1056913920 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 1056913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899097200).

1056913920 is an abundant number, since it is smaller than the sum of its proper divisors (2741280480).

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

1056913920 is an frugal number, since it uses more digits than its factorization.

1056913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1056913920 is about 32510.2125492898. The cubic root of 1056913920 is about 1018.6223616169.

The spelling of 1056913920 in words is "one billion, fifty-six million, nine hundred thirteen thousand, nine hundred twenty".