20056400 has 240 divisors, whose sum is σ = 64579200. Its totient is φ = 5806080.

The previous prime is 20056363. The next prime is 20056403. The reversal of 20056400 is 465002.

20056400 = T₁₁₉ + T₁₂₀ + ... + T₄₉₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20056403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691586 + ... + 691614.

It is an arithmetic number, because the mean of its divisors is an integer number (269080).

Almost surely, 2^20056400 is an apocalyptic number.

20056400 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 20056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32289600).

20056400 is an abundant number, since it is smaller than the sum of its proper divisors (44522800).

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

20056400 is a wasteful number, since it uses less digits than its factorization.

20056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 20056400 is about 4478.4372274265. The cubic root of 20056400 is about 271.6966774446.

The spelling of 20056400 in words is "twenty million, fifty-six thousand, four hundred".