85166592 has 120 divisors (see below), whose sum is σ = 262248096. Its totient is φ = 24059904.

The previous prime is 85166573. The next prime is 85166597. The reversal of 85166592 is 29566158.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85166597) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 956884 + ... + 956972.

Almost surely, 2^85166592 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 85166592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131124048).

85166592 is an abundant number, since it is smaller than the sum of its proper divisors (177081504).

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

85166592 is an frugal number, since it uses more digits than its factorization.

85166592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 101 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 85166592 is about 9228.5747545328. The cubic root of 85166592 is about 439.9700255063.

Multiplying 85166592 by its sum of digits (42), we get a square (3576996864 = 59808²).

85166592 divided by its sum of digits (42) gives a square (2027776 = 1424²).

It can be divided in two parts, 85166 and 592, that added together give a palindrome (85758).

The spelling of 85166592 in words is "eighty-five million, one hundred sixty-six thousand, five hundred ninety-two".