85880574 has 112 divisors (see below), whose sum is σ = 218145312. Its totient is φ = 25147584.

The previous prime is 85880573. The next prime is 85880579. The reversal of 85880574 is 47508858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85880573) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 435844 + ... + 436040.

It is an arithmetic number, because the mean of its divisors is an integer number (1947726).

Almost surely, 2^85880574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85880574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109072656).

85880574 is an abundant number, since it is smaller than the sum of its proper divisors (132264738).

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

85880574 is a wasteful number, since it uses less digits than its factorization.

85880574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 85880574 is about 9267.1772401309. The cubic root of 85880574 is about 441.1960810671.

The spelling of 85880574 in words is "eighty-five million, eight hundred eighty thousand, five hundred seventy-four".