83918240 has 96 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 27832320.

The previous prime is 83918201. The next prime is 83918251. The reversal of 83918240 is 4281938.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 83918240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33512 + ... + 35928.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^83918240 is an apocalyptic number.

83918240 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 83918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

83918240 is an abundant number, since it is smaller than the sum of its proper divisors (150066784).

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

83918240 is a wasteful number, since it uses less digits than its factorization.

83918240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 83918240 is about 9160.6899303491. The cubic root of 83918240 is about 437.8097767978.

The spelling of 83918240 in words is "eighty-three million, nine hundred eighteen thousand, two hundred forty".