84744960 has 144 divisors (see below), whose sum is σ = 280355040. Its totient is φ = 21790720.

The previous prime is 84744943. The next prime is 84744967. The reversal of 84744960 is 6944748.

It is not an unprimeable number, because it can be changed into a prime (84744967) 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, 110980 + ... + 111740.

It is an arithmetic number, because the mean of its divisors is an integer number (1946910).

Almost surely, 2^84744960 is an apocalyptic number.

84744960 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 84744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140177520).

84744960 is an abundant number, since it is smaller than the sum of its proper divisors (195610080).

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

84744960 is a wasteful number, since it uses less digits than its factorization.

84744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 84744960 is about 9205.7025804661. The cubic root of 84744960 is about 439.2427747232.

The spelling of 84744960 in words is "eighty-four million, seven hundred forty-four thousand, nine hundred sixty".