84848400 has 540 divisors, whose sum is σ = 378837732. Its totient is φ = 17418240.

The previous prime is 84848399. The next prime is 84848419. The reversal of 84848400 is 484848.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 83832336 = 1008^2 + 9156^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2293182 + ... + 2293218.

Almost surely, 2^84848400 is an apocalyptic number.

84848400 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 84848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189418866).

84848400 is an abundant number, since it is smaller than the sum of its proper divisors (293989332).

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

84848400 is a wasteful number, since it uses less digits than its factorization.

84848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84848400 is about 9211.3191237737. The cubic root of 84848400 is about 439.4214158246.

The spelling of 84848400 in words is "eighty-four million, eight hundred forty-eight thousand, four hundred".