55164000 has 96 divisors (see below), whose sum is σ = 180756576. Its totient is φ = 14707200.

The previous prime is 55163939. The next prime is 55164007. The reversal of 55164000 is 46155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55164007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9702 + ... + 14298.

It is an arithmetic number, because the mean of its divisors is an integer number (1882881).

Almost surely, 2^55164000 is an apocalyptic number.

55164000 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 55164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90378288).

55164000 is an abundant number, since it is smaller than the sum of its proper divisors (125592576).

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

55164000 is a wasteful number, since it uses less digits than its factorization.

55164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55164000 is about 7427.2471347061. The cubic root of 55164000 is about 380.6728614241.

The spelling of 55164000 in words is "fifty-five million, one hundred sixty-four thousand".