83239920 has 160 divisors (see below), whose sum is σ = 290606400. Its totient is φ = 21897216.

The previous prime is 83239861. The next prime is 83239943. The reversal of 83239920 is 2993238.

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

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, 192024 + ... + 192456.

It is an arithmetic number, because the mean of its divisors is an integer number (1816290).

Almost surely, 2^83239920 is an apocalyptic number.

83239920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83239920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303200).

83239920 is an abundant number, since it is smaller than the sum of its proper divisors (207366480).

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

83239920 is a wasteful number, since it uses less digits than its factorization.

83239920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 83239920 is about 9123.5913981283. The cubic root of 83239920 is about 436.6269632206.

The spelling of 83239920 in words is "eighty-three million, two hundred thirty-nine thousand, nine hundred twenty".