164053232 has 80 divisors (see below), whose sum is σ = 383279040. Its totient is φ = 66533376.

The previous prime is 164053231. The next prime is 164053237. The reversal of 164053232 is 232350461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164053231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171668 + ... + 172620.

It is an arithmetic number, because the mean of its divisors is an integer number (4790988).

Almost surely, 2^164053232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164053232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191639520).

164053232 is an abundant number, since it is smaller than the sum of its proper divisors (219225808).

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

164053232 is a wasteful number, since it uses less digits than its factorization.

164053232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 164053232 is about 12808.3266666649. The cubic root of 164053232 is about 547.4295838770.

It can be divided in two parts, 1640 and 53232, that added together give a cube (54872 = 38³).

The spelling of 164053232 in words is "one hundred sixty-four million, fifty-three thousand, two hundred thirty-two".