83952120 has 128 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 18057216.

The previous prime is 83952119. The next prime is 83952131. The reversal of 83952120 is 2125938.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11341 + ... + 17219.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^83952120 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 83952120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

83952120 is an abundant number, since it is smaller than the sum of its proper divisors (220867080).

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

83952120 is a wasteful number, since it uses less digits than its factorization.

83952120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5913 counting only the distinct ones).

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

The square root of 83952120 is about 9162.5389494397. The cubic root of 83952120 is about 437.8686873101.

The spelling of 83952120 in words is "eighty-three million, nine hundred fifty-two thousand, one hundred twenty".