1056400 has 60 divisors (see below), whose sum is σ = 2690800. Its totient is φ = 397440.

The previous prime is 1056379. The next prime is 1056401. The reversal of 1056400 is 46501.

It is a super-2 number, since 2×1056400² = 2231961920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1056401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7531 + ... + 7669.

2^1056400 is an apocalyptic number.

1056400 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 1056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345400).

1056400 is an abundant number, since it is smaller than the sum of its proper divisors (1634400).

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

1056400 is a wasteful number, since it uses less digits than its factorization.

1056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1056400 is about 1027.8132126024. The cubic root of 1056400 is about 101.8457234554.

The spelling of 1056400 in words is "one million, fifty-six thousand, four hundred".