83298240 has 224 divisors, whose sum is σ = 304312320. Its totient is φ = 21427200.

The previous prime is 83298239. The next prime is 83298247. The reversal of 83298240 is 4289238.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83298195 and 83298204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83298247) 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 31 ways as a sum of consecutive naturals, for example, 267685 + ... + 267995.

Almost surely, 2^83298240 is an apocalyptic number.

83298240 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 83298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

83298240 is an abundant number, since it is smaller than the sum of its proper divisors (221014080).

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

83298240 is a wasteful number, since it uses less digits than its factorization.

83298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83298240 is about 9126.7869483187. The cubic root of 83298240 is about 436.7289100584.

It can be divided in two parts, 83298 and 240, that added together give a palindrome (83538).

The spelling of 83298240 in words is "eighty-three million, two hundred ninety-eight thousand, two hundred forty".