83984964 has 96 divisors (see below), whose sum is σ = 239855616. Its totient is φ = 22325760.

The previous prime is 83984903. The next prime is 83984987. The reversal of 83984964 is 46948938.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146799 + ... + 147369.

It is an arithmetic number, because the mean of its divisors is an integer number (2498496).

Almost surely, 2^83984964 is an apocalyptic number.

83984964 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83984964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119927808).

83984964 is an abundant number, since it is smaller than the sum of its proper divisors (155870652).

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

83984964 is a wasteful number, since it uses less digits than its factorization.

83984964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 83984964 is about 9164.3310721514. The cubic root of 83984964 is about 437.9257812986.

It can be divided in two parts, 83984 and 964, that added together give a palindrome (84948).

The spelling of 83984964 in words is "eighty-three million, nine hundred eighty-four thousand, nine hundred sixty-four".