83734464 has 112 divisors (see below), whose sum is σ = 247838976. Its totient is φ = 24729600.

The previous prime is 83734447. The next prime is 83734477. The reversal of 83734464 is 46443738.

It is a super-2 number, since 2×83734464² = 14022920922734592, which contains 22 as substring.

Its product of digits (193536) is a multiple of the sum of its prime divisors (1024).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86109 + ... + 87075.

It is an arithmetic number, because the mean of its divisors is an integer number (2212848).

Almost surely, 2^83734464 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 83734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123919488).

83734464 is an abundant number, since it is smaller than the sum of its proper divisors (164104512).

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

83734464 is a wasteful number, since it uses less digits than its factorization.

83734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1024 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 83734464 is about 9150.6537471374. The cubic root of 83734464 is about 437.4899506807.

The spelling of 83734464 in words is "eighty-three million, seven hundred thirty-four thousand, four hundred sixty-four".