85984740 has 60 divisors (see below), whose sum is σ = 269742396. Its totient is φ = 22928832.

The previous prime is 85984721. The next prime is 85984753. The reversal of 85984740 is 4748958.

It can be written as a sum of positive squares in 2 ways, for example, as 12574116 + 73410624 = 3546^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24919 + ... + 28158.

Almost surely, 2^85984740 is an apocalyptic number.

It is an amenable number.

85984740 is an abundant number, since it is smaller than the sum of its proper divisors (183757656).

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

85984740 is a wasteful number, since it uses less digits than its factorization.

85984740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53098 (or 53087 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85984740 is about 9272.7956949347. The cubic root of 85984740 is about 441.3743870581.

The spelling of 85984740 in words is "eighty-five million, nine hundred eighty-four thousand, seven hundred forty".