83514240 has 224 divisors, whose sum is σ = 301012200. Its totient is φ = 22146048.

The previous prime is 83514199. The next prime is 83514257. The reversal of 83514240 is 4241538.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466471 + ... + 466649.

Almost surely, 2^83514240 is an apocalyptic number.

83514240 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 83514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150506100).

83514240 is an abundant number, since it is smaller than the sum of its proper divisors (217497960).

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

83514240 is an equidigital number, since it uses as much as digits as its factorization.

83514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 83514240 is about 9138.6125861643. The cubic root of 83514240 is about 437.1060769846.

Adding to 83514240 its reverse (4241538), we get a palindrome (87755778).

The spelling of 83514240 in words is "eighty-three million, five hundred fourteen thousand, two hundred forty".