83835240 has 64 divisors (see below), whose sum is σ = 253532160. Its totient is φ = 22176000.

The previous prime is 83835223. The next prime is 83835247. The reversal of 83835240 is 4253838.

It is not an unprimeable number, because it can be changed into a prime (83835247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12490 + ... + 17990.

It is an arithmetic number, because the mean of its divisors is an integer number (3961440).

Almost surely, 2^83835240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83835240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126766080).

83835240 is an abundant number, since it is smaller than the sum of its proper divisors (169696920).

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

83835240 is a wasteful number, since it uses less digits than its factorization.

83835240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5642 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 83835240 is about 9156.1585831614. The cubic root of 83835240 is about 437.6653894422.

The spelling of 83835240 in words is "eighty-three million, eight hundred thirty-five thousand, two hundred forty".