85564410 has 64 divisors (see below), whose sum is σ = 221253120. Its totient is φ = 21107520.

The previous prime is 85564403. The next prime is 85564421. The reversal of 85564410 is 1446558.

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, 22765 + ... + 26255.

It is an arithmetic number, because the mean of its divisors is an integer number (3457080).

Almost surely, 2^85564410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85564410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110626560).

85564410 is an abundant number, since it is smaller than the sum of its proper divisors (135688710).

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

85564410 is a wasteful number, since it uses less digits than its factorization.

85564410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85564410 is about 9250.1032426671. The cubic root of 85564410 is about 440.6540033220.

The spelling of 85564410 in words is "eighty-five million, five hundred sixty-four thousand, four hundred ten".