83160720 has 120 divisors (see below), whose sum is σ = 294028800. Its totient is φ = 21005568.

The previous prime is 83160703. The next prime is 83160731. The reversal of 83160720 is 2706138.

83160720 is a `hidden beast` number, since 8 + 31 + 607 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10641 + ... + 16719.

It is an arithmetic number, because the mean of its divisors is an integer number (2450240).

Almost surely, 2^83160720 is an apocalyptic number.

83160720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83160720 is the 4560-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147014400).

83160720 is an abundant number, since it is smaller than the sum of its proper divisors (210868080).

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

83160720 is a wasteful number, since it uses less digits than its factorization.

83160720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 83160720 is about 9119.2499691586. The cubic root of 83160720 is about 436.4884406271.

Adding to 83160720 its reverse (2706138), we get a palindrome (85866858).

The spelling of 83160720 in words is "eighty-three million, one hundred sixty thousand, seven hundred twenty".