83730120 has 96 divisors (see below), whose sum is σ = 262785600. Its totient is φ = 21341056.

The previous prime is 83730113. The next prime is 83730121. The reversal of 83730120 is 2103738.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (83730121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62821 + ... + 64139.

It is an arithmetic number, because the mean of its divisors is an integer number (2737350).

Almost surely, 2^83730120 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 83730120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131392800).

83730120 is an abundant number, since it is smaller than the sum of its proper divisors (179055480).

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

83730120 is a wasteful number, since it uses less digits than its factorization.

83730120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 83730120 is about 9150.4163839685. The cubic root of 83730120 is about 437.4823851411.

Adding to 83730120 its reverse (2103738), we get a palindrome (85833858).

The spelling of 83730120 in words is "eighty-three million, seven hundred thirty thousand, one hundred twenty".