83825920 has 72 divisors (see below), whose sum is σ = 205593696. Its totient is φ = 32729088.

The previous prime is 83825909. The next prime is 83825927. The reversal of 83825920 is 2952838.

It is a self number, because there is not a number n which added to its sum of digits gives 83825920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83825927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54279 + ... + 55801.

It is an arithmetic number, because the mean of its divisors is an integer number (2855468).

Almost surely, 2^83825920 is an apocalyptic number.

83825920 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 83825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102796848).

83825920 is an abundant number, since it is smaller than the sum of its proper divisors (121767776).

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

83825920 is a wasteful number, since it uses less digits than its factorization.

83825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 83825920 is about 9155.6496219547. The cubic root of 83825920 is about 437.6491703575.

The spelling of 83825920 in words is "eighty-three million, eight hundred twenty-five thousand, nine hundred twenty".