1055920800 has 576 divisors, whose sum is σ = 4103737344. Its totient is φ = 233164800.

The previous prime is 1055920741. The next prime is 1055920807. The reversal of 1055920800 is 80295501.

It is a super-2 number, since 2×1055920800² = 2229937471745280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1055920807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22466377 + ... + 22466423.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2^1055920800 is an apocalyptic number.

1055920800 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 1055920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051868672).

1055920800 is an abundant number, since it is smaller than the sum of its proper divisors (3047816544).

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

1055920800 is a wasteful number, since it uses less digits than its factorization.

1055920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1055920800 is about 32494.9349899334. The cubic root of 1055920800 is about 1018.3032150786.

The spelling of 1055920800 in words is "one billion, fifty-five million, nine hundred twenty thousand, eight hundred".