84753160 has 64 divisors (see below), whose sum is σ = 210729600. Its totient is φ = 30514176.

The previous prime is 84753139. The next prime is 84753161. The reversal of 84753160 is 6135748.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (84753161) 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 15 ways as a sum of consecutive naturals, for example, 12931 + ... + 18349.

It is an arithmetic number, because the mean of its divisors is an integer number (3292650).

Almost surely, 2^84753160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84753160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105364800).

84753160 is an abundant number, since it is smaller than the sum of its proper divisors (125976440).

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

84753160 is a wasteful number, since it uses less digits than its factorization.

84753160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 84753160 is about 9206.1479458023. The cubic root of 84753160 is about 439.2569414441.

The spelling of 84753160 in words is "eighty-four million, seven hundred fifty-three thousand, one hundred sixty".