84964800 has 168 divisors, whose sum is σ = 288251392. Its totient is φ = 21888000.

The previous prime is 84964799. The next prime is 84964811. The reversal of 84964800 is 846948.

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, 148515 + ... + 149085.

Almost surely, 2^84964800 is an apocalyptic number.

84964800 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 84964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144125696).

84964800 is an abundant number, since it is smaller than the sum of its proper divisors (203286592).

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

84964800 is a wasteful number, since it uses less digits than its factorization.

84964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 84964800 is about 9217.6352715867. The cubic root of 84964800 is about 439.6222653439.

The spelling of 84964800 in words is "eighty-four million, nine hundred sixty-four thousand, eight hundred".