86761008 has 60 divisors (see below), whose sum is σ = 243782760. Its totient is φ = 28804608.

The previous prime is 86761007. The next prime is 86761019. The reversal of 86761008 is 80016768.

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

It is not an unprimeable number, because it can be changed into a prime (86761007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39688 + ... + 41816.

It is an arithmetic number, because the mean of its divisors is an integer number (4063046).

Almost surely, 2^86761008 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 86761008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121891380).

86761008 is an abundant number, since it is smaller than the sum of its proper divisors (157021752).

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

86761008 is a wasteful number, since it uses less digits than its factorization.

86761008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 86761008 is about 9314.5589267555. The cubic root of 86761008 is about 442.6986487191.

The spelling of 86761008 in words is "eighty-six million, seven hundred sixty-one thousand, eight".