83613920 has 96 divisors (see below), whose sum is σ = 216548640. Its totient is φ = 30320640.

The previous prime is 83613899. The next prime is 83613941. The reversal of 83613920 is 2931638.

It is an interprime number because it is at equal distance from previous prime (83613899) and next prime (83613941).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126551 + ... + 127209.

It is an arithmetic number, because the mean of its divisors is an integer number (2255715).

Almost surely, 2^83613920 is an apocalyptic number.

83613920 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 83613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108274320).

83613920 is an abundant number, since it is smaller than the sum of its proper divisors (132934720).

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

83613920 is a wasteful number, since it uses less digits than its factorization.

83613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 83613920 is about 9144.0647416781. The cubic root of 83613920 is about 437.2799132483.

The spelling of 83613920 in words is "eighty-three million, six hundred thirteen thousand, nine hundred twenty".