27056400 has 120 divisors (see below), whose sum is σ = 99082944. Its totient is φ = 6182400.

The previous prime is 27056371. The next prime is 27056413. The reversal of 27056400 is 465072.

27056400 = T₂₀₅ + T₂₀₆ + ... + T₅₅₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6790 + ... + 10010.

Almost surely, 2^27056400 is an apocalyptic number.

27056400 is a gapful number since it is divisible by the number (20) 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 27056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49541472).

27056400 is an abundant number, since it is smaller than the sum of its proper divisors (72026544).

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

27056400 is a wasteful number, since it uses less digits than its factorization.

27056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 27056400 is about 5201.5766840449. The cubic root of 27056400 is about 300.2087436089.

The spelling of 27056400 in words is "twenty-seven million, fifty-six thousand, four hundred".