86673456 has 80 divisors (see below), whose sum is σ = 249969120. Its totient is φ = 28753920.

The previous prime is 86673443. The next prime is 86673469. The reversal of 86673456 is 65437668.

It is an interprime number because it is at equal distance from previous prime (86673443) and next prime (86673469).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134896 + ... + 135536.

It is an arithmetic number, because the mean of its divisors is an integer number (3124614).

Almost surely, 2^86673456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86673456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124984560).

86673456 is an abundant number, since it is smaller than the sum of its proper divisors (163295664).

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

86673456 is a wasteful number, since it uses less digits than its factorization.

86673456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 86673456 is about 9309.8580010653. The cubic root of 86673456 is about 442.5496870376.

The spelling of 86673456 in words is "eighty-six million, six hundred seventy-three thousand, four hundred fifty-six".