164766732 has 48 divisors (see below), whose sum is σ = 417940992. Its totient is φ = 50218560.

The previous prime is 164766697. The next prime is 164766751. The reversal of 164766732 is 237667461.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11757 + ... + 21627.

It is an arithmetic number, because the mean of its divisors is an integer number (8707104).

Almost surely, 2^164766732 is an apocalyptic number.

164766732 is a gapful number since it is divisible by the number (12) 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 164766732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208970496).

164766732 is an abundant number, since it is smaller than the sum of its proper divisors (253174260).

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

164766732 is a wasteful number, since it uses less digits than its factorization.

164766732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 9996 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 164766732 is about 12836.1494226267. The cubic root of 164766732 is about 548.2220626658. Note that the first 3 decimals are identical.

The spelling of 164766732 in words is "one hundred sixty-four million, seven hundred sixty-six thousand, seven hundred thirty-two".