84684960 has 96 divisors (see below), whose sum is σ = 296412480. Its totient is φ = 22581504.

The previous prime is 84684953. The next prime is 84684961. The reversal of 84684960 is 6948648.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84684961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5482 + ... + 14121.

It is an arithmetic number, because the mean of its divisors is an integer number (3087630).

Almost surely, 2^84684960 is an apocalyptic number.

84684960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84684960 is an abundant number, since it is smaller than the sum of its proper divisors (211727520).

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

84684960 is a wasteful number, since it uses less digits than its factorization.

84684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19627 (or 19613 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 84684960 is about 9202.4431538587. The cubic root of 84684960 is about 439.1390879723.

The spelling of 84684960 in words is "eighty-four million, six hundred eighty-four thousand, nine hundred sixty".