164164632 has 32 divisors (see below), whose sum is σ = 410844480. Its totient is φ = 54663840.

The previous prime is 164164571. The next prime is 164164667. The reversal of 164164632 is 236461461.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 164164593 and 164164602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23907 + ... + 29997.

It is an arithmetic number, because the mean of its divisors is an integer number (12838890).

Almost surely, 2^164164632 is an apocalyptic number.

164164632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164164632 is an abundant number, since it is smaller than the sum of its proper divisors (246679848).

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

164164632 is a wasteful number, since it uses less digits than its factorization.

164164632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223 (or 7219 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 164164632 is about 12812.6746622241. The cubic root of 164164632 is about 547.5534661407.

The spelling of 164164632 in words is "one hundred sixty-four million, one hundred sixty-four thousand, six hundred thirty-two".