84717360 has 320 divisors, whose sum is σ = 359976960. Its totient is φ = 17832960.

The previous prime is 84717331. The next prime is 84717361. The reversal of 84717360 is 6371748.

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

It is not an unprimeable number, because it can be changed into a prime (84717361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196345 + ... + 196775.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^84717360 is an apocalyptic number.

84717360 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 84717360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

84717360 is an abundant number, since it is smaller than the sum of its proper divisors (275259600).

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

84717360 is a wasteful number, since it uses less digits than its factorization.

84717360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 84717360 is about 9204.2033875833. The cubic root of 84717360 is about 439.1950848983.

The spelling of 84717360 in words is "eighty-four million, seven hundred seventeen thousand, three hundred sixty".