85544004 has 216 divisors, whose sum is σ = 272418048. Its totient is φ = 20684160.

The previous prime is 85543993. The next prime is 85544047. The reversal of 85544004 is 40044558.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2759469 + ... + 2759499.

Almost surely, 2^85544004 is an apocalyptic number.

85544004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85544004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136209024).

85544004 is an abundant number, since it is smaller than the sum of its proper divisors (186874044).

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

85544004 is a wasteful number, since it uses less digits than its factorization.

85544004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 85544004 is about 9249.0001621797. Note that the first 3 decimals coincide. The cubic root of 85544004 is about 440.6189704522.

The spelling of 85544004 in words is "eighty-five million, five hundred forty-four thousand, four".