55679400 has 240 divisors, whose sum is σ = 221459040. Its totient is φ = 12700800.

The previous prime is 55679387. The next prime is 55679423. The reversal of 55679400 is 497655.

55679400 is a `hidden beast` number, since 5 + 567 + 94 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113155 + ... + 113645.

It is an arithmetic number, because the mean of its divisors is an integer number (922746).

Almost surely, 2^55679400 is an apocalyptic number.

55679400 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 55679400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110729520).

55679400 is an abundant number, since it is smaller than the sum of its proper divisors (165779640).

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

55679400 is a wasteful number, since it uses less digits than its factorization.

55679400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55679400 is about 7461.8630381427. The cubic root of 55679400 is about 381.8547367599.

The spelling of 55679400 in words is "fifty-five million, six hundred seventy-nine thousand, four hundred".