84828960 has 72 divisors (see below), whose sum is σ = 289483740. Its totient is φ = 22620672.

The previous prime is 84828943. The next prime is 84828971. The reversal of 84828960 is 6982848.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 14470416 = 8388^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28015 + ... + 30894.

Almost surely, 2^84828960 is an apocalyptic number.

84828960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84828960 is an abundant number, since it is smaller than the sum of its proper divisors (204654780).

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

84828960 is a wasteful number, since it uses less digits than its factorization.

84828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58930 (or 58919 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 84828960 is about 9210.2638398691. The cubic root of 84828960 is about 439.3878539865.

The spelling of 84828960 in words is "eighty-four million, eight hundred twenty-eight thousand, nine hundred sixty".