55924800 has 168 divisors, whose sum is σ = 187464192. Its totient is φ = 14592000.

The previous prime is 55924787. The next prime is 55924859. The reversal of 55924800 is 842955.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292705 + ... + 292895.

Almost surely, 2^55924800 is an apocalyptic number.

55924800 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 55924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93732096).

55924800 is an abundant number, since it is smaller than the sum of its proper divisors (131539392).

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

55924800 is a wasteful number, since it uses less digits than its factorization.

55924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 55924800 is about 7478.2885742662. The cubic root of 55924800 is about 382.4149069543.

The spelling of 55924800 in words is "fifty-five million, nine hundred twenty-four thousand, eight hundred".