84393400 has 96 divisors (see below), whose sum is σ = 241547040. Its totient is φ = 26703360.

The previous prime is 84393373. The next prime is 84393461. The reversal of 84393400 is 439348.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15882 + ... + 20518.

It is an arithmetic number, because the mean of its divisors is an integer number (2516115).

Almost surely, 2^84393400 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 84393400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120773520).

84393400 is an abundant number, since it is smaller than the sum of its proper divisors (157153640).

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

84393400 is a wasteful number, since it uses less digits than its factorization.

84393400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 84393400 is about 9186.5880499781. The cubic root of 84393400 is about 438.6345410377.

The spelling of 84393400 in words is "eighty-four million, three hundred ninety-three thousand, four hundred".