84124800 has 288 divisors, whose sum is σ = 315694080. Its totient is φ = 21288960.

The previous prime is 84124787. The next prime is 84124811. The reversal of 84124800 is 842148.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662337 + ... + 662463.

It is an arithmetic number, because the mean of its divisors is an integer number (1096160).

Almost surely, 2^84124800 is an apocalyptic number.

84124800 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 84124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

84124800 is an abundant number, since it is smaller than the sum of its proper divisors (231569280).

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

84124800 is a wasteful number, since it uses less digits than its factorization.

84124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84124800 is about 9171.9572611303. The cubic root of 84124800 is about 438.1686971366.

Adding to 84124800 its reverse (842148), we get a palindrome (84966948).

The spelling of 84124800 in words is "eighty-four million, one hundred twenty-four thousand, eight hundred".