84972800 has 216 divisors, whose sum is σ = 246359232. Its totient is φ = 28672000.

The previous prime is 84972791. The next prime is 84972809. The reversal of 84972800 is 827948.

It is an interprime number because it is at equal distance from previous prime (84972791) and next prime (84972809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84972809) 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, 1196765 + ... + 1196835.

It is an arithmetic number, because the mean of its divisors is an integer number (1140552).

Almost surely, 2^84972800 is an apocalyptic number.

84972800 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 84972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123179616).

84972800 is an abundant number, since it is smaller than the sum of its proper divisors (161386432).

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

84972800 is a wasteful number, since it uses less digits than its factorization.

84972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 84972800 is about 9218.0692121507. The cubic root of 84972800 is about 439.6360626958.

The spelling of 84972800 in words is "eighty-four million, nine hundred seventy-two thousand, eight hundred".