85584420 has 36 divisors (see below), whose sum is σ = 259606620. Its totient is φ = 22822464.

The previous prime is 85584377. The next prime is 85584437. The reversal of 85584420 is 2448558.

It can be written as a sum of positive squares in 2 ways, for example, as 49871844 + 35712576 = 7062^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237555 + ... + 237914.

It is an arithmetic number, because the mean of its divisors is an integer number (7211295).

Almost surely, 2^85584420 is an apocalyptic number.

It is an amenable number.

85584420 is an abundant number, since it is smaller than the sum of its proper divisors (174022200).

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

85584420 is a wasteful number, since it uses less digits than its factorization.

85584420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475484 (or 475479 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 85584420 is about 9251.1847889878. The cubic root of 85584420 is about 440.6883509335.

The spelling of 85584420 in words is "eighty-five million, five hundred eighty-four thousand, four hundred twenty".