83273616 has 240 divisors, whose sum is σ = 274089600. Its totient is φ = 24127488.

The previous prime is 83273611. The next prime is 83273623. The reversal of 83273616 is 61637238.

It is a happy number.

83273616 is a `hidden beast` number, since 8 + 32 + 7 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83273611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2871490 + ... + 2871518.

It is an arithmetic number, because the mean of its divisors is an integer number (1142040).

Almost surely, 2^83273616 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 83273616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137044800).

83273616 is an abundant number, since it is smaller than the sum of its proper divisors (190815984).

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

83273616 is a wasteful number, since it uses less digits than its factorization.

83273616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 83273616 is about 9125.4378525088. The cubic root of 83273616 is about 436.6858716440.

The spelling of 83273616 in words is "eighty-three million, two hundred seventy-three thousand, six hundred sixteen".