86497952 has 48 divisors (see below), whose sum is σ = 178446240. Its totient is φ = 41217792.

The previous prime is 86497949. The next prime is 86497993. The reversal of 86497952 is 25979468.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86497952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76463 + ... + 77585.

It is an arithmetic number, because the mean of its divisors is an integer number (3717630).

Almost surely, 2^86497952 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 86497952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89223120).

86497952 is an abundant number, since it is smaller than the sum of its proper divisors (91948288).

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

86497952 is a wasteful number, since it uses less digits than its factorization.

86497952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 50.

The square root of 86497952 is about 9300.4275170553. The cubic root of 86497952 is about 442.2507807491.

The spelling of 86497952 in words is "eighty-six million, four hundred ninety-seven thousand, nine hundred fifty-two".