86617608 has 96 divisors (see below), whose sum is σ = 272086080. Its totient is φ = 22492800.

The previous prime is 86617607. The next prime is 86617651. The reversal of 86617608 is 80671668.

It is a super-2 number, since 2×86617608² = 15005220031283328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 86617608.

It is not an unprimeable number, because it can be changed into a prime (86617603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18198 + ... + 22458.

It is an arithmetic number, because the mean of its divisors is an integer number (2834230).

Almost surely, 2^86617608 is an apocalyptic number.

86617608 is a gapful number since it is divisible by the number (88) 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 86617608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136043040).

86617608 is an abundant number, since it is smaller than the sum of its proper divisors (185468472).

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

86617608 is a wasteful number, since it uses less digits than its factorization.

86617608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 86617608 is about 9306.8581164644. The cubic root of 86617608 is about 442.4546143882.

The spelling of 86617608 in words is "eighty-six million, six hundred seventeen thousand, six hundred eight".