84732960 has 192 divisors, whose sum is σ = 296013312. Its totient is φ = 20238336.

The previous prime is 84732959. The next prime is 84733007. The reversal of 84732960 is 6923748.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230697 + ... + 231063.

It is an arithmetic number, because the mean of its divisors is an integer number (1541736).

Almost surely, 2^84732960 is an apocalyptic number.

84732960 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 84732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148006656).

84732960 is an abundant number, since it is smaller than the sum of its proper divisors (211280352).

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

84732960 is a wasteful number, since it uses less digits than its factorization.

84732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 84732960 is about 9205.0507874753. The cubic root of 84732960 is about 439.2220412892. Note that the first 3 decimals are identical.

The spelling of 84732960 in words is "eighty-four million, seven hundred thirty-two thousand, nine hundred sixty".