83734064 has 40 divisors (see below), whose sum is σ = 174029040. Its totient is φ = 38907648.

The previous prime is 83734043. The next prime is 83734097. The reversal of 83734064 is 46043738.

It is a super-2 number, since 2×83734064² = 14022786947912192, which contains 22 as substring.

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, 13514 + ... + 18710.

It is an arithmetic number, because the mean of its divisors is an integer number (4350726).

Almost surely, 2^83734064 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 83734064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87014520).

83734064 is an abundant number, since it is smaller than the sum of its proper divisors (90294976).

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

83734064 is a wasteful number, since it uses less digits than its factorization.

83734064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 83734064 is about 9150.6318907494. The cubic root of 83734064 is about 437.4892540490.

The spelling of 83734064 in words is "eighty-three million, seven hundred thirty-four thousand, sixty-four".