83601920 has 120 divisors (see below), whose sum is σ = 214817724. Its totient is φ = 31195136.

The previous prime is 83601913. The next prime is 83601923. The reversal of 83601920 is 2910638.

It can be written as a sum of positive squares in 6 ways, for example, as 33362176 + 50239744 = 5776^2 + 7088^2 .

It is not an unprimeable number, because it can be changed into a prime (83601923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 739784 + ... + 739896.

Almost surely, 2^83601920 is an apocalyptic number.

83601920 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 83601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107408862).

83601920 is an abundant number, since it is smaller than the sum of its proper divisors (131215804).

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

83601920 is a wasteful number, since it uses less digits than its factorization.

83601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 83601920 is about 9143.4085548006. The cubic root of 83601920 is about 437.2589932468.

The spelling of 83601920 in words is "eighty-three million, six hundred one thousand, nine hundred twenty".