83219520 has 112 divisors (see below), whose sum is σ = 275783040. Its totient is φ = 21221376.

The previous prime is 83219503. The next prime is 83219527. The reversal of 83219520 is 2591238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (83219527) 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, 20196 + ... + 23964.

Almost surely, 2^83219520 is an apocalyptic number.

83219520 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 83219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137891520).

83219520 is an abundant number, since it is smaller than the sum of its proper divisors (192563520).

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

83219520 is a wasteful number, since it uses less digits than its factorization.

83219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 83219520 is about 9122.4733488238. The cubic root of 83219520 is about 436.5912915629.

The spelling of 83219520 in words is "eighty-three million, two hundred nineteen thousand, five hundred twenty".