85972680 has 96 divisors (see below), whose sum is σ = 281698560. Its totient is φ = 22738560.

The previous prime is 85972661. The next prime is 85972687. The reversal of 85972680 is 8627958.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85972687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46249 + ... + 48071.

It is an arithmetic number, because the mean of its divisors is an integer number (2934360).

Almost surely, 2^85972680 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 85972680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140849280).

85972680 is an abundant number, since it is smaller than the sum of its proper divisors (195725880).

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

85972680 is a wasteful number, since it uses less digits than its factorization.

85972680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 85972680 is about 9272.1453828119. The cubic root of 85972680 is about 441.3537507452.

The spelling of 85972680 in words is "eighty-five million, nine hundred seventy-two thousand, six hundred eighty".