84944400 has 120 divisors (see below), whose sum is σ = 276214464. Its totient is φ = 22310400.

The previous prime is 84944399. The next prime is 84944401. The reversal of 84944400 is 444948.

It is an interprime number because it is at equal distance from previous prime (84944399) and next prime (84944401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84944401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84702 + ... + 85698.

Almost surely, 2^84944400 is an apocalyptic number.

84944400 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 84944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138107232).

84944400 is an abundant number, since it is smaller than the sum of its proper divisors (191270064).

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

84944400 is a wasteful number, since it uses less digits than its factorization.

84944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 84944400 is about 9216.5286306722. The cubic root of 84944400 is about 439.5870781759.

The spelling of 84944400 in words is "eighty-four million, nine hundred forty-four thousand, four hundred".