55164600 has 144 divisors (see below), whose sum is σ = 195132600. Its totient is φ = 13927680.

The previous prime is 55164563. The next prime is 55164601. The reversal of 55164600 is 646155.

It is a happy number.

55164600 is a `hidden beast` number, since 5 + 51 + 6 + 4 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55164601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33394 + ... + 35006.

Almost surely, 2^55164600 is an apocalyptic number.

55164600 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 55164600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97566300).

55164600 is an abundant number, since it is smaller than the sum of its proper divisors (139968000).

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

55164600 is a wasteful number, since it uses less digits than its factorization.

55164600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55164600 is about 7427.2875264123. The cubic root of 55164600 is about 380.6742415687.

The spelling of 55164600 in words is "fifty-five million, one hundred sixty-four thousand, six hundred".