164924232 has 64 divisors (see below), whose sum is σ = 453427200. Its totient is φ = 49573440.

The previous prime is 164924219. The next prime is 164924257. The reversal of 164924232 is 232429461.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 164924193 and 164924202.

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, 31069 + ... + 35987.

It is an arithmetic number, because the mean of its divisors is an integer number (7084800).

Almost surely, 2^164924232 is an apocalyptic number.

164924232 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 164924232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226713600).

164924232 is an abundant number, since it is smaller than the sum of its proper divisors (288502968).

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

164924232 is a wasteful number, since it uses less digits than its factorization.

164924232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5062 counting only the distinct ones).

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

The square root of 164924232 is about 12842.2829746116. The cubic root of 164924232 is about 548.3966882838.

The spelling of 164924232 in words is "one hundred sixty-four million, nine hundred twenty-four thousand, two hundred thirty-two".