801615164 has 48 divisors (see below), whose sum is σ = 1620385536. Its totient is φ = 339897600.

The previous prime is 801615151. The next prime is 801615167. The reversal of 801615164 is 461516108.

801615164 = T₁ + T₂ + ... + T₁₆₈₇.

801615164 is a nontrivial binomial coefficient, being equal to C(1689, 3).

It is a self number, because there is not a number n which added to its sum of digits gives 801615164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801615167) by changing a digit.

It is the 1687-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1423547 + ... + 1424109.

It is an arithmetic number, because the mean of its divisors is an integer number (33758032).

Almost surely, 2^801615164 is an apocalyptic number.

It is an amenable number.

801615164 is an abundant number, since it is smaller than the sum of its proper divisors (818770372).

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

801615164 is a wasteful number, since it uses less digits than its factorization.

801615164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 801615164 is about 28312.8091859497. The cubic root of 801615164 is about 928.9420906825.

The spelling of 801615164 in words is "eight hundred one million, six hundred fifteen thousand, one hundred sixty-four".