83521620 has 144 divisors (see below), whose sum is σ = 311875200. Its totient is φ = 17618688.

The previous prime is 83521619. The next prime is 83521621. The reversal of 83521620 is 2612538.

83521620 is a `hidden beast` number, since 8 + 35 + 2 + 1 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (83521619) and next prime (83521621).

It is a super-2 number, since 2×83521620² = 13951722014848800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83521621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13831 + ... + 18929.

It is an arithmetic number, because the mean of its divisors is an integer number (2165800).

Almost surely, 2^83521620 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 83521620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937600).

83521620 is an abundant number, since it is smaller than the sum of its proper divisors (228353580).

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

83521620 is a wasteful number, since it uses less digits than its factorization.

83521620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83521620 is about 9139.0163584491. The cubic root of 83521620 is about 437.1189520257.

The spelling of 83521620 in words is "eighty-three million, five hundred twenty-one thousand, six hundred twenty".