83268360 has 192 divisors, whose sum is σ = 312698880. Its totient is φ = 18823680.

The previous prime is 83268323. The next prime is 83268373. The reversal of 83268360 is 6386238.

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 47 ways as a sum of consecutive naturals, for example, 435865 + ... + 436055.

It is an arithmetic number, because the mean of its divisors is an integer number (1628640).

Almost surely, 2^83268360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83268360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156349440).

83268360 is an abundant number, since it is smaller than the sum of its proper divisors (229430520).

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

83268360 is a wasteful number, since it uses less digits than its factorization.

83268360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 83268360 is about 9125.1498617831. The cubic root of 83268360 is about 436.6766839831.

The spelling of 83268360 in words is "eighty-three million, two hundred sixty-eight thousand, three hundred sixty".