86609952 has 192 divisors, whose sum is σ = 297198720. Its totient is φ = 24192000.

The previous prime is 86609909. The next prime is 86609953. The reversal of 86609952 is 25990668.

It is a junction number, because it is equal to n+sod(n) for n = 86609898 and 86609907.

It is not an unprimeable number, because it can be changed into a prime (86609953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123202 + ... + 123902.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^86609952 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 86609952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

86609952 is an abundant number, since it is smaller than the sum of its proper divisors (210588768).

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

86609952 is a wasteful number, since it uses less digits than its factorization.

86609952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 86609952 is about 9306.4467977849. The cubic root of 86609952 is about 442.4415780383.

The spelling of 86609952 in words is "eighty-six million, six hundred nine thousand, nine hundred fifty-two".