86193792 has 48 divisors (see below), whose sum is σ = 248034930. Its totient is φ = 28730880.

The previous prime is 86193781. The next prime is 86193803. The reversal of 86193792 is 29739168.

It is an interprime number because it is at equal distance from previous prime (86193781) and next prime (86193803).

It can be written as a sum of positive squares in only one way, i.e., 75064896 + 11128896 = 8664^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36259 + ... + 38562.

Almost surely, 2^86193792 is an apocalyptic number.

It is an amenable number.

86193792 is an abundant number, since it is smaller than the sum of its proper divisors (161841138).

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

86193792 is a wasteful number, since it uses less digits than its factorization.

86193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74841 (or 74826 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 86193792 is about 9284.0611803241. The cubic root of 86193792 is about 441.7317974595.

The spelling of 86193792 in words is "eighty-six million, one hundred ninety-three thousand, seven hundred ninety-two".