84984800 has 72 divisors (see below), whose sum is σ = 212611392. Its totient is φ = 33152000.

The previous prime is 84984791. The next prime is 84984817. The reversal of 84984800 is 848948.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31505 + ... + 34095.

It is an arithmetic number, because the mean of its divisors is an integer number (2952936).

Almost surely, 2^84984800 is an apocalyptic number.

84984800 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 84984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106305696).

84984800 is an abundant number, since it is smaller than the sum of its proper divisors (127626592).

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

84984800 is a wasteful number, since it uses less digits than its factorization.

84984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 84984800 is about 9218.7200846972. The cubic root of 84984800 is about 439.6567571001.

The spelling of 84984800 in words is "eighty-four million, nine hundred eighty-four thousand, eight hundred".