84317760 has 140 divisors (see below), whose sum is σ = 300025308. Its totient is φ = 22477824.

The previous prime is 84317749. The next prime is 84317767. The reversal of 84317760 is 6771348.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 19289664 = 8064^2 + 4392^2 .

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 (84317767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24294 + ... + 27546.

Almost surely, 2^84317760 is an apocalyptic number.

84317760 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 84317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150012654).

84317760 is an abundant number, since it is smaller than the sum of its proper divisors (215707548).

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

84317760 is a wasteful number, since it uses less digits than its factorization.

84317760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3263 counting only the distinct ones).

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

The square root of 84317760 is about 9182.4702558734. The cubic root of 84317760 is about 438.5034556133.

The spelling of 84317760 in words is "eighty-four million, three hundred seventeen thousand, seven hundred sixty".