83370240 has 108 divisors (see below), whose sum is σ = 288492204. Its totient is φ = 22228992.

The previous prime is 83370223. The next prime is 83370247. The reversal of 83370240 is 4207338.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 40755456 = 6528^2 + 6384^2 .

It is not an unprimeable number, because it can be changed into a prime (83370247) 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, 7902 + ... + 15138.

Almost surely, 2^83370240 is an apocalyptic number.

83370240 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 83370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144246102).

83370240 is an abundant number, since it is smaller than the sum of its proper divisors (205121964).

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

83370240 is a wasteful number, since it uses less digits than its factorization.

83370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 83370240 is about 9130.7305293717. The cubic root of 83370240 is about 436.8547047373.

Adding to 83370240 its reverse (4207338), we get a palindrome (87577578).

The spelling of 83370240 in words is "eighty-three million, three hundred seventy thousand, two hundred forty".