84400848 has 240 divisors, whose sum is σ = 290108416. Its totient is φ = 22394880.

The previous prime is 84400847. The next prime is 84400859. The reversal of 84400848 is 84800448.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84400847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156140 + ... + 1156212.

Almost surely, 2^84400848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84400848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145054208).

84400848 is an abundant number, since it is smaller than the sum of its proper divisors (205707568).

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

84400848 is a wasteful number, since it uses less digits than its factorization.

84400848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

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

The square root of 84400848 is about 9186.9934146052. The cubic root of 84400848 is about 438.6474443135.

The spelling of 84400848 in words is "eighty-four million, four hundred thousand, eight hundred forty-eight".