84296800 has 72 divisors (see below), whose sum is σ = 235203696. Its totient is φ = 28899840.

The previous prime is 84296789. The next prime is 84296827. The reversal of 84296800 is 869248.

It is a self number, because there is not a number n which added to its sum of digits gives 84296800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1927 + ... + 13126.

It is an arithmetic number, because the mean of its divisors is an integer number (3266718).

Almost surely, 2^84296800 is an apocalyptic number.

84296800 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 84296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117601848).

84296800 is an abundant number, since it is smaller than the sum of its proper divisors (150906896).

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

84296800 is a wasteful number, since it uses less digits than its factorization.

84296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15080 (or 15067 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 84296800 is about 9181.3288798518. The cubic root of 84296800 is about 438.4671177009.

The spelling of 84296800 in words is "eighty-four million, two hundred ninety-six thousand, eight hundred".