1055896800 has 144 divisors (see below), whose sum is σ = 3927998592. Its totient is φ = 241344000.

The previous prime is 1055896799. The next prime is 1055896813. The reversal of 1055896800 is 86985501.

1055896800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055896800² = 2229836104500480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14626 + ... + 48225.

It is an arithmetic number, because the mean of its divisors is an integer number (27277768).

Almost surely, 2^1055896800 is an apocalyptic number.

1055896800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055896800 is an abundant number, since it is smaller than the sum of its proper divisors (2872101792).

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

1055896800 is a wasteful number, since it uses less digits than its factorization.

1055896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62881 (or 62868 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 1055896800 is about 32494.5656995135. The cubic root of 1055896800 is about 1018.2955000232.

The spelling of 1055896800 in words is "one billion, fifty-five million, eight hundred ninety-six thousand, eight hundred".