83883520 has 160 divisors (see below), whose sum is σ = 238841856. Its totient is φ = 27648000.

The previous prime is 83883493. The next prime is 83883529. The reversal of 83883520 is 2538838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 83883520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83883529) 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, 555445 + ... + 555595.

Almost surely, 2^83883520 is an apocalyptic number.

83883520 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 83883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119420928).

83883520 is an abundant number, since it is smaller than the sum of its proper divisors (154958336).

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

83883520 is a wasteful number, since it uses less digits than its factorization.

83883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 83883520 is about 9158.7946805243. The cubic root of 83883520 is about 437.7493892416.

The spelling of 83883520 in words is "eighty-three million, eight hundred eighty-three thousand, five hundred twenty".