79144164 has 54 divisors (see below), whose sum is σ = 219911510. Its totient is φ = 23981760.

The previous prime is 79144157. The next prime is 79144187. The reversal of 79144164 is 46144197.

79144164 = 748² + 749² + ... + 868².

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 24502500 = 7392^2 + 4950^2 .

It is a super-3 number, since 3×79144164³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4729 + ... + 13440.

Almost surely, 2^79144164 is an apocalyptic number.

It is an amenable number.

79144164 is an abundant number, since it is smaller than the sum of its proper divisors (140767346).

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

79144164 is a wasteful number, since it uses less digits than its factorization.

79144164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18201 (or 18185 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 79144164 is about 8896.3005794544. The cubic root of 79144164 is about 429.3448903074.

The spelling of 79144164 in words is "seventy-nine million, one hundred forty-four thousand, one hundred sixty-four".