85504944 has 80 divisors (see below), whose sum is σ = 260618240. Its totient is φ = 23639040.

The previous prime is 85504919. The next prime is 85504949. The reversal of 85504944 is 44940558.

It is a super-2 number, since 2×85504944² = 14622190896886272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85504949) 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, 6312 + ... + 14520.

It is an arithmetic number, because the mean of its divisors is an integer number (3257728).

Almost surely, 2^85504944 is an apocalyptic number.

85504944 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 85504944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130309120).

85504944 is an abundant number, since it is smaller than the sum of its proper divisors (175113296).

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

85504944 is a wasteful number, since it uses less digits than its factorization.

85504944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 85504944 is about 9246.8883414909. Note that the first 3 decimals coincide. The cubic root of 85504944 is about 440.5518969916.

The spelling of 85504944 in words is "eighty-five million, five hundred four thousand, nine hundred forty-four".