85981504 has 56 divisors (see below), whose sum is σ = 195974208. Its totient is φ = 36664320.

The previous prime is 85981487. The next prime is 85981523. The reversal of 85981504 is 40518958.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125547 + ... + 126229.

Almost surely, 2^85981504 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 85981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97987104).

85981504 is an abundant number, since it is smaller than the sum of its proper divisors (109992704).

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

85981504 is a wasteful number, since it uses less digits than its factorization.

85981504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 85981504 is about 9272.6212043844. The cubic root of 85981504 is about 441.3688500080.

The spelling of 85981504 in words is "eighty-five million, nine hundred eighty-one thousand, five hundred four".