84738464 has 48 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 40529664.

The previous prime is 84738449. The next prime is 84738503. The reversal of 84738464 is 46483748.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117497 + ... + 118215.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^84738464 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 84738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

84738464 is an abundant number, since it is smaller than the sum of its proper divisors (89443936).

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

84738464 is a wasteful number, since it uses less digits than its factorization.

84738464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its digits is 516096, while the sum is 44.

The square root of 84738464 is about 9205.3497489232. The cubic root of 84738464 is about 439.2315512673.

The spelling of 84738464 in words is "eighty-four million, seven hundred thirty-eight thousand, four hundred sixty-four".