6056400 has 180 divisors, whose sum is σ = 22787232. Its totient is φ = 1370880.

The previous prime is 6056399. The next prime is 6056411. The reversal of 6056400 is 46506.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 58749 + ... + 58851.

Almost surely, 2^6056400 is an apocalyptic number.

6056400 is a gapful number since it is divisible by the number (60) 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 6056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393616).

6056400 is an abundant number, since it is smaller than the sum of its proper divisors (16730832).

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

6056400 is a wasteful number, since it uses less digits than its factorization.

6056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 6056400 is about 2460.9754163746. The cubic root of 6056400 is about 182.2796489855.

The spelling of 6056400 in words is "six million, fifty-six thousand, four hundred".