164854032 has 320 divisors, whose sum is σ = 571392000. Its totient is φ = 40642560.

The previous prime is 164854031. The next prime is 164854043. The reversal of 164854032 is 230458461.

It is a junction number, because it is equal to n+sod(n) for n = 164853984 and 164854002.

It is not an unprimeable number, because it can be changed into a prime (164854031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5317857 + ... + 5317887.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^164854032 is an apocalyptic number.

164854032 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 164854032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696000).

164854032 is an abundant number, since it is smaller than the sum of its proper divisors (406537968).

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

164854032 is a wasteful number, since it uses less digits than its factorization.

164854032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 164854032 is about 12839.5495248081. The cubic root of 164854032 is about 548.3188688906.

The spelling of 164854032 in words is "one hundred sixty-four million, eight hundred fifty-four thousand, thirty-two".