86692368 has 240 divisors, whose sum is σ = 284981760. Its totient is φ = 22579200.

The previous prime is 86692297. The next prime is 86692453. The reversal of 86692368 is 86329668.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2114428 + ... + 2114468.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^86692368 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 86692368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

86692368 is an abundant number, since it is smaller than the sum of its proper divisors (198289392).

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

86692368 is a wasteful number, since it uses less digits than its factorization.

86692368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 86692368 is about 9310.8736432195. The cubic root of 86692368 is about 442.5818725587.

The spelling of 86692368 in words is "eighty-six million, six hundred ninety-two thousand, three hundred sixty-eight".