83114240 has 72 divisors (see below), whose sum is σ = 217219968. Its totient is φ = 30218240.

The previous prime is 83114197. The next prime is 83114281. The reversal of 83114240 is 4241138.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11129 + ... + 17031.

It is an arithmetic number, because the mean of its divisors is an integer number (3016944).

Almost surely, 2^83114240 is an apocalyptic number.

83114240 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 83114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108609984).

83114240 is an abundant number, since it is smaller than the sum of its proper divisors (134105728).

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

83114240 is a wasteful number, since it uses less digits than its factorization.

83114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 83114240 is about 9116.7011577653. The cubic root of 83114240 is about 436.4071050973.

Adding to 83114240 its reverse (4241138), we get a palindrome (87355378).

The spelling of 83114240 in words is "eighty-three million, one hundred fourteen thousand, two hundred forty".