83442240 has 168 divisors, whose sum is σ = 328086720. Its totient is φ = 19067904.

The previous prime is 83442223. The next prime is 83442241. The reversal of 83442240 is 4224438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (83442241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18091 + ... + 22229.

Almost surely, 2^83442240 is an apocalyptic number.

83442240 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 83442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164043360).

83442240 is an abundant number, since it is smaller than the sum of its proper divisors (244644480).

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

83442240 is a wasteful number, since it uses less digits than its factorization.

83442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 83442240 is about 9134.6724079192. The cubic root of 83442240 is about 436.9804270113.

Adding to 83442240 its reverse (4224438), we get a palindrome (87666678).

The spelling of 83442240 in words is "eighty-three million, four hundred forty-two thousand, two hundred forty".