86807496 has 64 divisors (see below), whose sum is σ = 227162880. Its totient is φ = 27614720.

The previous prime is 86807489. The next prime is 86807503. The reversal of 86807496 is 69470868.

It is an interprime number because it is at equal distance from previous prime (86807489) and next prime (86807503).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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, 45310 + ... + 47186.

It is an arithmetic number, because the mean of its divisors is an integer number (3549420).

Almost surely, 2^86807496 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 86807496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113581440).

86807496 is an abundant number, since it is smaller than the sum of its proper divisors (140355384).

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

86807496 is a wasteful number, since it uses less digits than its factorization.

86807496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 86807496 is about 9317.0540408436. The cubic root of 86807496 is about 442.7777030494. Note that the first 4 decimals are identical.

The spelling of 86807496 in words is "eighty-six million, eight hundred seven thousand, four hundred ninety-six".