83884920 has 128 divisors (see below), whose sum is σ = 295488000. Its totient is φ = 18648576.

The previous prime is 83884901. The next prime is 83884991. The reversal of 83884920 is 2948838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29731 + ... + 32429.

It is an arithmetic number, because the mean of its divisors is an integer number (2308500).

Almost surely, 2^83884920 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 83884920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

83884920 is an abundant number, since it is smaller than the sum of its proper divisors (211603080).

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

83884920 is a wasteful number, since it uses less digits than its factorization.

83884920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 83884920 is about 9158.8711094763. The cubic root of 83884920 is about 437.7518245461.

It can be divided in two parts, 838 and 84920, that added together give a palindrome (85758).

The spelling of 83884920 in words is "eighty-three million, eight hundred eighty-four thousand, nine hundred twenty".