84605360 has 120 divisors (see below), whose sum is σ = 232056576. Its totient is φ = 28600320.

The previous prime is 84605359. The next prime is 84605363. The reversal of 84605360 is 6350648.

It is not an unprimeable number, because it can be changed into a prime (84605363) 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 23 ways as a sum of consecutive naturals, for example, 442865 + ... + 443055.

Almost surely, 2^84605360 is an apocalyptic number.

84605360 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 84605360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116028288).

84605360 is an abundant number, since it is smaller than the sum of its proper divisors (147451216).

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

84605360 is a wasteful number, since it uses less digits than its factorization.

84605360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 84605360 is about 9198.1171986445. The cubic root of 84605360 is about 439.0014546023.

The spelling of 84605360 in words is "eighty-four million, six hundred five thousand, three hundred sixty".