52164000 has 480 divisors, whose sum is σ = 228324096. Its totient is φ = 11404800.

The previous prime is 52163959. The next prime is 52164067. The reversal of 52164000 is 46125.

It is a happy number.

52164000 is a `hidden beast` number, since 5 + 21 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267989 + ... + 2268011.

Almost surely, 2^52164000 is an apocalyptic number.

52164000 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 52164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114162048).

52164000 is an abundant number, since it is smaller than the sum of its proper divisors (176160096).

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

52164000 is a wasteful number, since it uses less digits than its factorization.

52164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52164000 is about 7222.4649531860. The cubic root of 52164000 is about 373.6430960867.

It can be divided in two parts, 5216 and 4000, that added together give a square (9216 = 96²).

The spelling of 52164000 in words is "fifty-two million, one hundred sixty-four thousand".