85996980 has 72 divisors (see below), whose sum is σ = 262080000. Its totient is φ = 22825152.

The previous prime is 85996973. The next prime is 85996997. The reversal of 85996980 is 8969958.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42021 + ... + 44019.

It is an arithmetic number, because the mean of its divisors is an integer number (3640000).

Almost surely, 2^85996980 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 85996980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

85996980 is an abundant number, since it is smaller than the sum of its proper divisors (176083020).

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

85996980 is a wasteful number, since it uses less digits than its factorization.

85996980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 85996980 is about 9273.4556665787. The cubic root of 85996980 is about 441.3953294027.

The spelling of 85996980 in words is "eighty-five million, nine hundred ninety-six thousand, nine hundred eighty".