164970000 has 400 divisors, whose sum is σ = 650791680. Its totient is φ = 39744000.

The previous prime is 164969993. The next prime is 164970011. The reversal of 164970000 is 79461.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3509977 + ... + 3510023.

Almost surely, 2^164970000 is an apocalyptic number.

164970000 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 164970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325395840).

164970000 is an abundant number, since it is smaller than the sum of its proper divisors (485821680).

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

164970000 is a wasteful number, since it uses less digits than its factorization.

164970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 164970000 is about 12844.0647771646. The cubic root of 164970000 is about 548.4474119766.

The spelling of 164970000 in words is "one hundred sixty-four million, nine hundred seventy thousand".