84064400 has 90 divisors (see below), whose sum is σ = 234993330. Its totient is φ = 28815360.

The previous prime is 84064363. The next prime is 84064423. The reversal of 84064400 is 446048.

It can be written as a sum of positive squares in 3 ways, for example, as 20830096 + 63234304 = 4564^2 + 7952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84064400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17456 + ... + 21744.

It is an arithmetic number, because the mean of its divisors is an integer number (2611037).

Almost surely, 2^84064400 is an apocalyptic number.

84064400 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 84064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117496665).

84064400 is an abundant number, since it is smaller than the sum of its proper divisors (150928930).

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

84064400 is a wasteful number, since it uses less digits than its factorization.

84064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 84064400 is about 9168.6640248184. The cubic root of 84064400 is about 438.0638064436.

The spelling of 84064400 in words is "eighty-four million, sixty-four thousand, four hundred".