85537944 has 64 divisors (see below), whose sum is σ = 240588000. Its totient is φ = 28506816.

The previous prime is 85537939. The next prime is 85537951. The reversal of 85537944 is 44973558.

85537944 is a `hidden beast` number, since 8 + 553 + 7 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85537944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15052 + ... + 19940.

Almost surely, 2^85537944 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 85537944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294000).

85537944 is an abundant number, since it is smaller than the sum of its proper divisors (155050056).

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

85537944 is an equidigital number, since it uses as much as digits as its factorization.

85537944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4894 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 85537944 is about 9248.6725533992. The cubic root of 85537944 is about 440.6085656161.

The spelling of 85537944 in words is "eighty-five million, five hundred thirty-seven thousand, nine hundred forty-four".