83384964 has 72 divisors (see below), whose sum is σ = 235435200. Its totient is φ = 25653024.

The previous prime is 83384963. The next prime is 83384971. The reversal of 83384964 is 46948338.

It is not an unprimeable number, because it can be changed into a prime (83384963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9337 + ... + 15935.

Almost surely, 2^83384964 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 83384964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117717600).

83384964 is an abundant number, since it is smaller than the sum of its proper divisors (152050236).

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

83384964 is a wasteful number, since it uses less digits than its factorization.

83384964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631 (or 6617 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 83384964 is about 9131.5367819442. The cubic root of 83384964 is about 436.8804208283.

It can be divided in two parts, 83384 and 964, that added together give a palindrome (84348).

The spelling of 83384964 in words is "eighty-three million, three hundred eighty-four thousand, nine hundred sixty-four".