83388320 has 24 divisors (see below), whose sum is σ = 197005284. Its totient is φ = 33355264.

The previous prime is 83388313. The next prime is 83388323. The reversal of 83388320 is 2388338.

It can be written as a sum of positive squares in 2 ways, for example, as 81938704 + 1449616 = 9052^2 + 1204^2 .

It is a super-2 number, since 2×83388320² = 13907223824844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83388323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 260429 + ... + 260748.

Almost surely, 2^83388320 is an apocalyptic number.

83388320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83388320 is an abundant number, since it is smaller than the sum of its proper divisors (113616964).

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

83388320 is a wasteful number, since it uses less digits than its factorization.

83388320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521192 (or 521184 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 83388320 is about 9131.7205388689. The cubic root of 83388320 is about 436.8862818011.

The spelling of 83388320 in words is "eighty-three million, three hundred eighty-eight thousand, three hundred twenty".