164038896 has 120 divisors (see below), whose sum is σ = 529832160. Its totient is φ = 46407168.

The previous prime is 164038873. The next prime is 164038961. The reversal of 164038896 is 698830461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109126 + ... + 110618.

It is an arithmetic number, because the mean of its divisors is an integer number (4415268).

Almost surely, 2^164038896 is an apocalyptic number.

164038896 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 164038896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264916080).

164038896 is an abundant number, since it is smaller than the sum of its proper divisors (365793264).

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

164038896 is a wasteful number, since it uses less digits than its factorization.

164038896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 164038896 is about 12807.7670184931. The cubic root of 164038896 is about 547.4136374694.

The spelling of 164038896 in words is "one hundred sixty-four million, thirty-eight thousand, eight hundred ninety-six".