86180616 has 96 divisors (see below), whose sum is σ = 249139800. Its totient is φ = 26818560.

The previous prime is 86180579. The next prime is 86180641. The reversal of 86180616 is 61608168.

It can be written as a sum of positive squares in 4 ways, for example, as 48358116 + 37822500 = 6954^2 + 6150^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221350 + ... + 221738.

Almost surely, 2^86180616 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 86180616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124569900).

86180616 is an abundant number, since it is smaller than the sum of its proper divisors (162959184).

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

86180616 is a wasteful number, since it uses less digits than its factorization.

86180616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 86180616 is about 9283.3515499522. The cubic root of 86180616 is about 441.7092878927.

The spelling of 86180616 in words is "eighty-six million, one hundred eighty thousand, six hundred sixteen".