55684800 has 168 divisors, whose sum is σ = 203149200. Its totient is φ = 14837760.

The previous prime is 55684793. The next prime is 55684807. The reversal of 55684800 is 848655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55684793) and next prime (55684807).

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

It is not an unprimeable number, because it can be changed into a prime (55684807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42556 + ... + 43844.

Almost surely, 2^55684800 is an apocalyptic number.

55684800 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 55684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101574600).

55684800 is an abundant number, since it is smaller than the sum of its proper divisors (147464400).

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

55684800 is a wasteful number, since it uses less digits than its factorization.

55684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1299 counting only the distinct ones).

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

The square root of 55684800 is about 7462.2248693000. The cubic root of 55684800 is about 381.8670809358.

The spelling of 55684800 in words is "fifty-five million, six hundred eighty-four thousand, eight hundred".