84072960 has 240 divisors, whose sum is σ = 301621320. Its totient is φ = 21626880.

The previous prime is 84072959. The next prime is 84072971. The reversal of 84072960 is 6927048.

It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 52533504 = 5616^2 + 7248^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944596 + ... + 944684.

Almost surely, 2^84072960 is an apocalyptic number.

84072960 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 84072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150810660).

84072960 is an abundant number, since it is smaller than the sum of its proper divisors (217548360).

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

84072960 is a wasteful number, since it uses less digits than its factorization.

84072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

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

The square root of 84072960 is about 9169.1308203123. The cubic root of 84072960 is about 438.0786748021.

The spelling of 84072960 in words is "eighty-four million, seventy-two thousand, nine hundred sixty".