1056879900 has 432 divisors, whose sum is σ = 3761092608. Its totient is φ = 256608000.

The previous prime is 1056879899. The next prime is 1056879913. The reversal of 1056879900 is 99786501.

1056879900 is a `hidden beast` number, since 10 + 568 + 79 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×1056879900² = 2233990246048020000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17325870 + ... + 17325930.

Almost surely, 2^1056879900 is an apocalyptic number.

1056879900 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 1056879900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880546304).

1056879900 is an abundant number, since it is smaller than the sum of its proper divisors (2704212708).

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

1056879900 is a wasteful number, since it uses less digits than its factorization.

1056879900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1056879900 is about 32509.6893248767. The cubic root of 1056879900 is about 1018.6114323432.

The spelling of 1056879900 in words is "one billion, fifty-six million, eight hundred seventy-nine thousand, nine hundred".