55864400 has 30 divisors (see below), whose sum is σ = 134215182. Its totient is φ = 22345600.

The previous prime is 55864357. The next prime is 55864423. The reversal of 55864400 is 446855.

It can be written as a sum of positive squares in 3 ways, for example, as 4426816 + 51437584 = 2104^2 + 7172^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69431 + ... + 70230.

Almost surely, 2^55864400 is an apocalyptic number.

55864400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55864400 is an abundant number, since it is smaller than the sum of its proper divisors (78350782).

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

55864400 is a wasteful number, since it uses less digits than its factorization.

55864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139679 (or 139668 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 55864400 is about 7474.2491261665. The cubic root of 55864400 is about 382.2771852234.

The spelling of 55864400 in words is "fifty-five million, eight hundred sixty-four thousand, four hundred".