86072980 has 96 divisors (see below), whose sum is σ = 214695936. Its totient is φ = 28377216.

The previous prime is 86072977. The next prime is 86072999. The reversal of 86072980 is 8927068.

It is a congruent number.

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, 677677 + ... + 677803.

It is an arithmetic number, because the mean of its divisors is an integer number (2236416).

Almost surely, 2^86072980 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 86072980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107347968).

86072980 is an abundant number, since it is smaller than the sum of its proper divisors (128622956).

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

86072980 is a wasteful number, since it uses less digits than its factorization.

86072980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 86072980 is about 9277.5524789677. The cubic root of 86072980 is about 441.5253191138.

The spelling of 86072980 in words is "eighty-six million, seventy-two thousand, nine hundred eighty".