84296400 has 120 divisors (see below), whose sum is σ = 272155200. Its totient is φ = 22302720.

The previous prime is 84296389. The next prime is 84296437. The reversal of 84296400 is 469248.

It is a tau number, because it is divible by the number of its divisors (120).

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, 238624 + ... + 238976.

It is an arithmetic number, because the mean of its divisors is an integer number (2267960).

Almost surely, 2^84296400 is an apocalyptic number.

84296400 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 84296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136077600).

84296400 is an abundant number, since it is smaller than the sum of its proper divisors (187858800).

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

84296400 is a wasteful number, since it uses less digits than its factorization.

84296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 84296400 is about 9181.3070964869. The cubic root of 84296400 is about 438.4664241708.

The spelling of 84296400 in words is "eighty-four million, two hundred ninety-six thousand, four hundred".