85209552 has 60 divisors (see below), whose sum is σ = 240050980. Its totient is φ = 28214784.

The previous prime is 85209541. The next prime is 85209583. The reversal of 85209552 is 25590258.

85209552 is a `hidden beast` number, since 85 + 20 + 9 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 36433296 = 6984^2 + 6036^2 .

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

It is a congruent number.

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, 20724 + ... + 24492.

Almost surely, 2^85209552 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 85209552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120025490).

85209552 is an abundant number, since it is smaller than the sum of its proper divisors (154841428).

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

85209552 is a wasteful number, since it uses less digits than its factorization.

85209552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 85209552 is about 9230.9020144296. The cubic root of 85209552 is about 440.0439900922.

The spelling of 85209552 in words is "eighty-five million, two hundred nine thousand, five hundred fifty-two".