164046960 has 360 divisors, whose sum is σ = 694643040. Its totient is φ = 33960960.

The previous prime is 164046929. The next prime is 164046973. The reversal of 164046960 is 69640461.

164046960 is a `hidden beast` number, since 1 + 640 + 4 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×164046960² = 53822810170483200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609706 + ... + 609974.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2^164046960 is an apocalyptic number.

164046960 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 164046960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347321520).

164046960 is an abundant number, since it is smaller than the sum of its proper divisors (530596080).

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

164046960 is a wasteful number, since it uses less digits than its factorization.

164046960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 164046960 is about 12808.0818235987. The cubic root of 164046960 is about 547.4226074380.

The spelling of 164046960 in words is "one hundred sixty-four million, forty-six thousand, nine hundred sixty".