83683920 has 80 divisors (see below), whose sum is σ = 262608192. Its totient is φ = 22041600.

The previous prime is 83683907. The next prime is 83683927. The reversal of 83683920 is 2938638.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83683927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17820 + ... + 22020.

Almost surely, 2^83683920 is an apocalyptic number.

83683920 is a gapful number since it is divisible by the number (80) 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 83683920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131304096).

83683920 is an abundant number, since it is smaller than the sum of its proper divisors (178924272).

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

83683920 is a wasteful number, since it uses less digits than its factorization.

83683920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 83683920 is about 9147.8915603542. The cubic root of 83683920 is about 437.4019067153.

The spelling of 83683920 in words is "eighty-three million, six hundred eighty-three thousand, nine hundred twenty".