86615360 has 112 divisors (see below), whose sum is σ = 227356416. Its totient is φ = 31229952.

The previous prime is 86615327. The next prime is 86615369. The reversal of 86615360 is 6351668.

It is a self number, because there is not a number n which added to its sum of digits gives 86615360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86615369) 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, 195299 + ... + 195741.

It is an arithmetic number, because the mean of its divisors is an integer number (2029968).

Almost surely, 2^86615360 is an apocalyptic number.

86615360 is a gapful number since it is divisible by the number (80) 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 86615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113678208).

86615360 is an abundant number, since it is smaller than the sum of its proper divisors (140741056).

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

86615360 is a wasteful number, since it uses less digits than its factorization.

86615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 86615360 is about 9306.7373445263. The cubic root of 86615360 is about 442.4507866577.

The spelling of 86615360 in words is "eighty-six million, six hundred fifteen thousand, three hundred sixty".