56548800 has 672 divisors, whose sum is σ = 272125440. Its totient is φ = 11059200.

The previous prime is 56548787. The next prime is 56548823. The reversal of 56548800 is 884565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3326392 + ... + 3326408.

Almost surely, 2^56548800 is an apocalyptic number.

56548800 is a gapful number since it is divisible by the number (50) 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 56548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

56548800 is an abundant number, since it is smaller than the sum of its proper divisors (215576640).

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

56548800 is a wasteful number, since it uses less digits than its factorization.

56548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 56548800 is about 7519.8936162688. The cubic root of 56548800 is about 383.8319577237.

The spelling of 56548800 in words is "fifty-six million, five hundred forty-eight thousand, eight hundred".