55934800 has 30 divisors (see below), whose sum is σ = 134384318. Its totient is φ = 22373760.

The previous prime is 55934797. The next prime is 55934807. The reversal of 55934800 is 843955.

It can be written as a sum of positive squares in 3 ways, for example, as 1411344 + 54523456 = 1188^2 + 7384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55934807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69519 + ... + 70318.

Almost surely, 2^55934800 is an apocalyptic number.

55934800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55934800 is an abundant number, since it is smaller than the sum of its proper divisors (78449518).

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

55934800 is a wasteful number, since it uses less digits than its factorization.

55934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139855 (or 139844 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 55934800 is about 7478.9571465546. The cubic root of 55934800 is about 382.4376989963.

The spelling of 55934800 in words is "fifty-five million, nine hundred thirty-four thousand, eight hundred".