84860960 has 48 divisors (see below), whose sum is σ = 207408600. Its totient is φ = 32772096.

The previous prime is 84860959. The next prime is 84861031. The reversal of 84860960 is 6906848.

It can be written as a sum of positive squares in 4 ways, for example, as 83685904 + 1175056 = 9148^2 + 1084^2 .

It is a super-3 number, since 3×84860960³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4505 + ... + 13784.

Almost surely, 2^84860960 is an apocalyptic number.

84860960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84860960 is an abundant number, since it is smaller than the sum of its proper divisors (122547640).

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

84860960 is a wasteful number, since it uses less digits than its factorization.

84860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 84860960 is about 9212.0008684324. Note that the first 3 decimals coincide. The cubic root of 84860960 is about 439.4430970847.

The spelling of 84860960 in words is "eighty-four million, eight hundred sixty thousand, nine hundred sixty".