164052000 has 576 divisors, whose sum is σ = 717050880. Its totient is φ = 36288000.

The previous prime is 164051983. The next prime is 164052017. The reversal of 164052000 is 250461.

It is a happy number.

164052000 is a `hidden beast` number, since 1 + 640 + 5 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164051983) and next prime (164052017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5291985 + ... + 5292015.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^164052000 is an apocalyptic number.

164052000 is a gapful number since it is divisible by the number (10) 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 164052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

164052000 is an abundant number, since it is smaller than the sum of its proper divisors (552998880).

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

164052000 is a wasteful number, since it uses less digits than its factorization.

164052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

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

The square root of 164052000 is about 12808.2785728606. The cubic root of 164052000 is about 547.4282135191.

The spelling of 164052000 in words is "one hundred sixty-four million, fifty-two thousand".