83235360 has 96 divisors (see below), whose sum is σ = 282381120. Its totient is φ = 20487168.

The previous prime is 83235331. The next prime is 83235377. The reversal of 83235360 is 6353238.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 430 + ... + 12909.

It is an arithmetic number, because the mean of its divisors is an integer number (2941470).

Almost surely, 2^83235360 is an apocalyptic number.

83235360 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 83235360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141190560).

83235360 is an abundant number, since it is smaller than the sum of its proper divisors (199145760).

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

83235360 is a wasteful number, since it uses less digits than its factorization.

83235360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13370 (or 13362 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 83235360 is about 9123.3414931153. The cubic root of 83235360 is about 436.6189900618.

Adding to 83235360 its reverse (6353238), we get a palindrome (89588598).

The spelling of 83235360 in words is "eighty-three million, two hundred thirty-five thousand, three hundred sixty".