86367952 has 80 divisors (see below), whose sum is σ = 190916352. Its totient is φ = 37506560.

The previous prime is 86367949. The next prime is 86367959. The reversal of 86367952 is 25976368.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86367959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438318 + ... + 438514.

Almost surely, 2^86367952 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 86367952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95458176).

86367952 is an abundant number, since it is smaller than the sum of its proper divisors (104548400).

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

86367952 is a wasteful number, since it uses less digits than its factorization.

86367952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 86367952 is about 9293.4359630871. The cubic root of 86367952 is about 442.0291129654.

The spelling of 86367952 in words is "eighty-six million, three hundred sixty-seven thousand, nine hundred fifty-two".