85577004 has 72 divisors (see below), whose sum is σ = 227730048. Its totient is φ = 27060480.

The previous prime is 85576973. The next prime is 85577059. The reversal of 85577004 is 40077558.

85577004 is a `hidden beast` number, since 85 + 577 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×85577004² = 14646847227232032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85577004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53829 + ... + 55395.

Almost surely, 2^85577004 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 85577004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113865024).

85577004 is an abundant number, since it is smaller than the sum of its proper divisors (142153044).

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

85577004 is a wasteful number, since it uses less digits than its factorization.

85577004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 85577004 is about 9250.7839667782. The cubic root of 85577004 is about 440.6756218285.

The spelling of 85577004 in words is "eighty-five million, five hundred seventy-seven thousand, four".