164561328 has 40 divisors (see below), whose sum is σ = 472353200. Its totient is φ = 54853632.

The previous prime is 164561321. The next prime is 164561339. The reversal of 164561328 is 823165461.

It is a happy number.

164561328 is a `hidden beast` number, since 1 + 64 + 561 + 32 + 8 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 164561292 and 164561301.

It is not an unprimeable number, because it can be changed into a prime (164561321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190033 + ... + 190896.

It is an arithmetic number, because the mean of its divisors is an integer number (11808830).

Almost surely, 2^164561328 is an apocalyptic number.

164561328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164561328 is an abundant number, since it is smaller than the sum of its proper divisors (307791872).

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

164561328 is a wasteful number, since it uses less digits than its factorization.

164561328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380946 (or 380934 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 164561328 is about 12828.1459299464. The cubic root of 164561328 is about 547.9941569697.

The spelling of 164561328 in words is "one hundred sixty-four million, five hundred sixty-one thousand, three hundred twenty-eight".