86717952 has 240 divisors, whose sum is σ = 281513232. Its totient is φ = 26542080.

The previous prime is 86717947. The next prime is 86717959. The reversal of 86717952 is 25971768.

Its product of digits (211680) is a multiple of the sum of its prime divisors (63).

It is a junction number, because it is equal to n+sod(n) for n = 86717898 and 86717907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86717959) 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, 2115052 + ... + 2115092.

Almost surely, 2^86717952 is an apocalyptic number.

86717952 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140756616).

86717952 is an abundant number, since it is smaller than the sum of its proper divisors (194795280).

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

86717952 is an equidigital number, since it uses as much as digits as its factorization.

86717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 86717952 is about 9312.2474193935. The cubic root of 86717952 is about 442.6254054217.

The spelling of 86717952 in words is "eighty-six million, seven hundred seventeen thousand, nine hundred fifty-two".