164624328 has 96 divisors (see below), whose sum is σ = 515043360. Its totient is φ = 46947840.

The previous prime is 164624323. The next prime is 164624333. The reversal of 164624328 is 823426461.

164624328 is a `hidden beast` number, since 1 + 6 + 4 + 624 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (164624323) and next prime (164624333).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 164624292 and 164624301.

It is not an unprimeable number, because it can be changed into a prime (164624323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7351 + ... + 19577.

It is an arithmetic number, because the mean of its divisors is an integer number (5365035).

Almost surely, 2^164624328 is an apocalyptic number.

164624328 is a gapful number since it is divisible by the number (18) 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 164624328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257521680).

164624328 is an abundant number, since it is smaller than the sum of its proper divisors (350419032).

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

164624328 is a wasteful number, since it uses less digits than its factorization.

164624328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12267 (or 12260 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 164624328 is about 12830.6012329898. The cubic root of 164624328 is about 548.0640786773.

The spelling of 164624328 in words is "one hundred sixty-four million, six hundred twenty-four thousand, three hundred twenty-eight".