83326320 has 400 divisors, whose sum is σ = 362976768. Its totient is φ = 17210880.

The previous prime is 83326319. The next prime is 83326363. The reversal of 83326320 is 2362338.

83326320 is a `hidden beast` number, since 8 + 332 + 6 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498877 + ... + 499043.

Almost surely, 2^83326320 is an apocalyptic number.

83326320 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 83326320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181488384).

83326320 is an abundant number, since it is smaller than the sum of its proper divisors (279650448).

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

83326320 is a wasteful number, since it uses less digits than its factorization.

83326320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 83326320 is about 9128.3251475832. The cubic root of 83326320 is about 436.7779786024. Note that the first 3 decimals are identical.

Adding to 83326320 its reverse (2362338), we get a palindrome (85688658).

The spelling of 83326320 in words is "eighty-three million, three hundred twenty-six thousand, three hundred twenty".