82719168 has 56 divisors (see below), whose sum is σ = 250131072. Its totient is φ = 23633664.

The previous prime is 82719163. The next prime is 82719173. The reversal of 82719168 is 86191728.

It is an interprime number because it is at equal distance from previous prime (82719163) and next prime (82719173).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×82719168² = 13684921509224448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82719163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29430 + ... + 32117.

Almost surely, 2^82719168 is an apocalyptic number.

It is an amenable number.

82719168 is an abundant number, since it is smaller than the sum of its proper divisors (167411904).

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

82719168 is a wasteful number, since it uses less digits than its factorization.

82719168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61569 (or 61559 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 82719168 is about 9095.0078614589. The cubic root of 82719168 is about 435.7145397370.

The spelling of 82719168 in words is "eighty-two million, seven hundred nineteen thousand, one hundred sixty-eight".