164812896 has 72 divisors (see below), whose sum is σ = 470938104. Its totient is φ = 54673920.

The previous prime is 164812889. The next prime is 164812913. The reversal of 164812896 is 698218461.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64116 + ... + 66636.

It is an arithmetic number, because the mean of its divisors is an integer number (6540807).

Almost surely, 2^164812896 is an apocalyptic number.

164812896 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 164812896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235469052).

164812896 is an abundant number, since it is smaller than the sum of its proper divisors (306125208).

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

164812896 is a wasteful number, since it uses less digits than its factorization.

164812896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2753 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 164812896 is about 12837.9474995032. The cubic root of 164812896 is about 548.2732577903.

The spelling of 164812896 in words is "one hundred sixty-four million, eight hundred twelve thousand, eight hundred ninety-six".