83251620 has 72 divisors (see below), whose sum is σ = 254826936. Its totient is φ = 21998592.

The previous prime is 83251603. The next prime is 83251621. The reversal of 83251620 is 2615238.

83251620 is a `hidden beast` number, since 8 + 32 + 5 + 1 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 83064996 = 432^2 + 9114^2 .

It is not an unprimeable number, because it can be changed into a prime (83251621) 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 23 ways as a sum of consecutive naturals, for example, 18294 + ... + 22386.

It is an arithmetic number, because the mean of its divisors is an integer number (3539263).

Almost surely, 2^83251620 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 83251620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127413468).

83251620 is an abundant number, since it is smaller than the sum of its proper divisors (171575316).

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

83251620 is a wasteful number, since it uses less digits than its factorization.

83251620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4216 counting only the distinct ones).

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

The square root of 83251620 is about 9124.2325704686. The cubic root of 83251620 is about 436.6474193356.

Adding to 83251620 its reverse (2615238), we get a palindrome (85866858).

The spelling of 83251620 in words is "eighty-three million, two hundred fifty-one thousand, six hundred twenty".