84940800 has 288 divisors, whose sum is σ = 324979200. Its totient is φ = 19169280.

The previous prime is 84940777. The next prime is 84940819. The reversal of 84940800 is 804948.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075161 + ... + 1075239.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^84940800 is an apocalyptic number.

84940800 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 84940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

84940800 is an abundant number, since it is smaller than the sum of its proper divisors (240038400).

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

84940800 is a wasteful number, since it uses less digits than its factorization.

84940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 84940800 is about 9216.3333273054. Note that the first 4 decimals coincide. The cubic root of 84940800 is about 439.5808680909.

The spelling of 84940800 in words is "eighty-four million, nine hundred forty thousand, eight hundred".