86768496 has 140 divisors (see below), whose sum is σ = 259408248. Its totient is φ = 28086912.

The previous prime is 86768491. The next prime is 86768531. The reversal of 86768496 is 69486768.

86768496 is a `hidden beast` number, since 86 + 76 + 8 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86768491) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 501466 + ... + 501638.

Almost surely, 2^86768496 is an apocalyptic number.

86768496 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86768496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129704124).

86768496 is an abundant number, since it is smaller than the sum of its proper divisors (172639752).

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

86768496 is a wasteful number, since it uses less digits than its factorization.

86768496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 86768496 is about 9314.9608694830. The cubic root of 86768496 is about 442.7113842101.

The spelling of 86768496 in words is "eighty-six million, seven hundred sixty-eight thousand, four hundred ninety-six".