84268800 has 648 divisors, whose sum is σ = 395391360. Its totient is φ = 16588800.

The previous prime is 84268799. The next prime is 84268829. The reversal of 84268800 is 886248.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4435191 + ... + 4435209.

Almost surely, 2^84268800 is an apocalyptic number.

84268800 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 84268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197695680).

84268800 is an abundant number, since it is smaller than the sum of its proper divisors (311122560).

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

84268800 is a wasteful number, since it uses less digits than its factorization.

84268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 84268800 is about 9179.8039194745. The cubic root of 84268800 is about 438.4185652891.

The spelling of 84268800 in words is "eighty-four million, two hundred sixty-eight thousand, eight hundred".