86510952 has 96 divisors (see below), whose sum is σ = 269100000. Its totient is φ = 24831360.

The previous prime is 86510951. The next prime is 86510953. The reversal of 86510952 is 25901568.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86510951) and next prime (86510953).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86510951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12174 + ... + 17922.

It is an arithmetic number, because the mean of its divisors is an integer number (2803125).

Almost surely, 2^86510952 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 86510952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134550000).

86510952 is an abundant number, since it is smaller than the sum of its proper divisors (182589048).

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

86510952 is a wasteful number, since it uses less digits than its factorization.

86510952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5791 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 86510952 is about 9301.1263834011. The cubic root of 86510952 is about 442.2729353089.

The spelling of 86510952 in words is "eighty-six million, five hundred ten thousand, nine hundred fifty-two".