55406800 has 30 divisors (see below), whose sum is σ = 133115798. Its totient is φ = 22162560.

The previous prime is 55406777. The next prime is 55406801. The reversal of 55406800 is 860455.

It can be written as a sum of positive squares in 3 ways, for example, as 1354896 + 54051904 = 1164^2 + 7352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55406801) 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, 68859 + ... + 69658.

Almost surely, 2^55406800 is an apocalyptic number.

55406800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55406800 is an abundant number, since it is smaller than the sum of its proper divisors (77708998).

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

55406800 is a wasteful number, since it uses less digits than its factorization.

55406800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138535 (or 138524 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 55406800 is about 7443.5744101876. The cubic root of 55406800 is about 381.2305445595.

The spelling of 55406800 in words is "fifty-five million, four hundred six thousand, eight hundred".