164034816 has 72 divisors (see below), whose sum is σ = 476284704. Its totient is φ = 49704960.

The previous prime is 164034803. The next prime is 164034833. The reversal of 164034816 is 618430461.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1261 + ... + 18156.

Almost surely, 2^164034816 is an apocalyptic number.

164034816 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 164034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238142352).

164034816 is an abundant number, since it is smaller than the sum of its proper divisors (312249888).

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

164034816 is a wasteful number, since it uses less digits than its factorization.

164034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19447 (or 19433 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 164034816 is about 12807.6077391525. The cubic root of 164034816 is about 547.4090989805.

The spelling of 164034816 in words is "one hundred sixty-four million, thirty-four thousand, eight hundred sixteen".