85944400 has 120 divisors (see below), whose sum is σ = 221414400. Its totient is φ = 31987200.

The previous prime is 85944361. The next prime is 85944421. The reversal of 85944400 is 444958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359481 + ... + 359719.

It is an arithmetic number, because the mean of its divisors is an integer number (1845120).

Almost surely, 2^85944400 is an apocalyptic number.

85944400 is a gapful number since it is divisible by the number (80) 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 85944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110707200).

85944400 is an abundant number, since it is smaller than the sum of its proper divisors (135470000).

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

85944400 is a wasteful number, since it uses less digits than its factorization.

85944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 85944400 is about 9270.6202597237. The cubic root of 85944400 is about 441.3053522196.

The spelling of 85944400 in words is "eighty-five million, nine hundred forty-four thousand, four hundred".