84393360 has 160 divisors (see below), whose sum is σ = 294624000. Its totient is φ = 22201344.

The previous prime is 84393349. The next prime is 84393367. The reversal of 84393360 is 6339348.

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 (84393367) 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 31 ways as a sum of consecutive naturals, for example, 192021 + ... + 192459.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 2^84393360 is an apocalyptic number.

84393360 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 84393360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312000).

84393360 is an abundant number, since it is smaller than the sum of its proper divisors (210230640).

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

84393360 is a wasteful number, since it uses less digits than its factorization.

84393360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 84393360 is about 9186.5858728910. The cubic root of 84393360 is about 438.6344717377.

The spelling of 84393360 in words is "eighty-four million, three hundred ninety-three thousand, three hundred sixty".