86607792 has 100 divisors (see below), whose sum is σ = 265480776. Its totient is φ = 27164160.

The previous prime is 86607767. The next prime is 86607797. The reversal of 86607792 is 29770668.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86607797) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20067 + ... + 23997.

Almost surely, 2^86607792 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 86607792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132740388).

86607792 is an abundant number, since it is smaller than the sum of its proper divisors (178872984).

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

86607792 is a wasteful number, since it uses less digits than its factorization.

86607792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 86607792 is about 9306.3307484744. The cubic root of 86607792 is about 442.4378999323.

The spelling of 86607792 in words is "eighty-six million, six hundred seven thousand, seven hundred ninety-two".