86791880 has 64 divisors (see below), whose sum is σ = 232899840. Its totient is φ = 28461312.

The previous prime is 86791879. The next prime is 86791883. The reversal of 86791880 is 8819768.

It is not an unprimeable number, because it can be changed into a prime (86791883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299 + ... + 13178.

It is an arithmetic number, because the mean of its divisors is an integer number (3639060).

Almost surely, 2^86791880 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 86791880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116449920).

86791880 is an abundant number, since it is smaller than the sum of its proper divisors (146107960).

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

86791880 is a wasteful number, since it uses less digits than its factorization.

86791880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13518 (or 13514 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 47.

The square root of 86791880 is about 9316.2159700170. The cubic root of 86791880 is about 442.7511506908.

The spelling of 86791880 in words is "eighty-six million, seven hundred ninety-one thousand, eight hundred eighty".