84846400 has 84 divisors (see below), whose sum is σ = 219842080. Its totient is φ = 32140800.

The previous prime is 84846383. The next prime is 84846401. The reversal of 84846400 is 464848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84846401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29005 + ... + 31795.

Almost surely, 2^84846400 is an apocalyptic number.

84846400 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 84846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109921040).

84846400 is an abundant number, since it is smaller than the sum of its proper divisors (134995680).

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

84846400 is a wasteful number, since it uses less digits than its factorization.

84846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 84846400 is about 9211.2105610501. The cubic root of 84846400 is about 439.4179631972.

It can be divided in two parts, 8484 and 6400, that added together give a square (14884 = 122²).

The spelling of 84846400 in words is "eighty-four million, eight hundred forty-six thousand, four hundred".