84912960 has 336 divisors, whose sum is σ = 321064128. Its totient is φ = 18923520.

The previous prime is 84912959. The next prime is 84912967. The reversal of 84912960 is 6921948.

It is a Smith number, since the sum of its digits (39) 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 (84912967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974699 + ... + 1974741.

It is an arithmetic number, because the mean of its divisors is an integer number (955548).

Almost surely, 2^84912960 is an apocalyptic number.

84912960 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 84912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160532064).

84912960 is an abundant number, since it is smaller than the sum of its proper divisors (236151168).

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

84912960 is a wasteful number, since it uses less digits than its factorization.

84912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 84912960 is about 9214.8228414875. The cubic root of 84912960 is about 439.5328375071.

The spelling of 84912960 in words is "eighty-four million, nine hundred twelve thousand, nine hundred sixty".