164933376 has 144 divisors (see below), whose sum is σ = 470937600. Its totient is φ = 51093504.

The previous prime is 164933359. The next prime is 164933393. The reversal of 164933376 is 673339461.

It is an interprime number because it is at equal distance from previous prime (164933359) and next prime (164933393).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298625 + ... + 1298751.

It is an arithmetic number, because the mean of its divisors is an integer number (3270400).

Almost surely, 2^164933376 is an apocalyptic number.

164933376 is a gapful number since it is divisible by the number (16) 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 164933376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235468800).

164933376 is an abundant number, since it is smaller than the sum of its proper divisors (306004224).

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

164933376 is a wasteful number, since it uses less digits than its factorization.

164933376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its digits is 244944, while the sum is 42.

The square root of 164933376 is about 12842.6389811440. The cubic root of 164933376 is about 548.4068231329.

The spelling of 164933376 in words is "one hundred sixty-four million, nine hundred thirty-three thousand, three hundred seventy-six".