164975616 has 308 divisors, whose sum is σ = 563817492. Its totient is φ = 47775744.

The previous prime is 164975611. The next prime is 164975617. The reversal of 164975616 is 616579461.

It can be written as a sum of positive squares in 2 ways, for example, as 74649600 + 90326016 = 8640^2 + 9504^2 .

Its product of digits (272160) is a multiple of the sum of its prime divisors (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164975611) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9704440 + ... + 9704456.

Almost surely, 2^164975616 is an apocalyptic number.

164975616 is a gapful number since it is divisible by the number (16) 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 164975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281908746).

164975616 is an abundant number, since it is smaller than the sum of its proper divisors (398841876).

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

164975616 is an equidigital number, since it uses as much as digits as its factorization.

164975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 35 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 164975616 is about 12844.2833976832. The cubic root of 164975616 is about 548.4536354227.

The spelling of 164975616 in words is "one hundred sixty-four million, nine hundred seventy-five thousand, six hundred sixteen".