84720960 has 168 divisors, whose sum is σ = 304312320. Its totient is φ = 21593088.

The previous prime is 84720949. The next prime is 84720967. The reversal of 84720960 is 6902748.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84720967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65601 + ... + 66879.

Almost surely, 2^84720960 is an apocalyptic number.

84720960 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 84720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

84720960 is an abundant number, since it is smaller than the sum of its proper divisors (219591360).

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

84720960 is a wasteful number, since it uses less digits than its factorization.

84720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 84720960 is about 9204.3989483290. The cubic root of 84720960 is about 439.2013058976.

The spelling of 84720960 in words is "eighty-four million, seven hundred twenty thousand, nine hundred sixty".