86635008 has 100 divisors (see below), whose sum is σ = 258706470. Its totient is φ = 28864512.

The previous prime is 86634991. The next prime is 86635027. The reversal of 86635008 is 80053668.

It can be written as a sum of positive squares in only one way, i.e., 58247424 + 28387584 = 7632^2 + 5328^2 .

It is a super-2 number, since 2×86635008² = 15011249222320128, which contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 40428 + ... + 42516.

Almost surely, 2^86635008 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 86635008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129353235).

86635008 is an abundant number, since it is smaller than the sum of its proper divisors (172071462).

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

86635008 is an equidigital number, since it uses as much as digits as its factorization.

86635008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86635008 is about 9307.7928640468. The cubic root of 86635008 is about 442.4842395995.

The spelling of 86635008 in words is "eighty-six million, six hundred thirty-five thousand, eight".