86968680 has 128 divisors (see below), whose sum is σ = 274665600. Its totient is φ = 21998592.

The previous prime is 86968669. The next prime is 86968697. The reversal of 86968680 is 8686968.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232974 + ... + 233346.

It is an arithmetic number, because the mean of its divisors is an integer number (2145825).

Almost surely, 2^86968680 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 86968680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137332800).

86968680 is an abundant number, since it is smaller than the sum of its proper divisors (187696920).

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

86968680 is a wasteful number, since it uses less digits than its factorization.

86968680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 86968680 is about 9325.6999737285. The cubic root of 86968680 is about 443.0515832159.

The spelling of 86968680 in words is "eighty-six million, nine hundred sixty-eight thousand, six hundred eighty".