84718960 has 40 divisors (see below), whose sum is σ = 197375760. Its totient is φ = 33818112.

The previous prime is 84718951. The next prime is 84718961. The reversal of 84718960 is 6981748.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84718961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58404 + ... + 59836.

It is an arithmetic number, because the mean of its divisors is an integer number (4934394).

Almost surely, 2^84718960 is an apocalyptic number.

84718960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84718960 is an abundant number, since it is smaller than the sum of its proper divisors (112656800).

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

84718960 is a wasteful number, since it uses less digits than its factorization.

84718960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 84718960 is about 9204.2903039832. The cubic root of 84718960 is about 439.1978498086.

The spelling of 84718960 in words is "eighty-four million, seven hundred eighteen thousand, nine hundred sixty".