84627360 has 144 divisors (see below), whose sum is σ = 305867016. Its totient is φ = 21233664.

The previous prime is 84627331. The next prime is 84627383. The reversal of 84627360 is 6372648.

It can be written as a sum of positive squares in 4 ways, for example, as 53758224 + 30869136 = 7332^2 + 5556^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 22752 + ... + 26208.

Almost surely, 2^84627360 is an apocalyptic number.

84627360 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 84627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152933508).

84627360 is an abundant number, since it is smaller than the sum of its proper divisors (221239656).

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

84627360 is a wasteful number, since it uses less digits than its factorization.

84627360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 84627360 is about 9199.3130178291. The cubic root of 84627360 is about 439.0395026054.

The spelling of 84627360 in words is "eighty-four million, six hundred twenty-seven thousand, three hundred sixty".