85137904 has 80 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 37002240.

The previous prime is 85137869. The next prime is 85137907. The reversal of 85137904 is 40973158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85137907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193717 + ... + 194155.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^85137904 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 85137904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

85137904 is an abundant number, since it is smaller than the sum of its proper divisors (103421456).

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

85137904 is a wasteful number, since it uses less digits than its factorization.

85137904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 85137904 is about 9227.0203207753. The cubic root of 85137904 is about 439.9206192885.

The spelling of 85137904 in words is "eighty-five million, one hundred thirty-seven thousand, nine hundred four".