83414240 has 192 divisors, whose sum is σ = 257572224. Its totient is φ = 24772608.

The previous prime is 83414239. The next prime is 83414249. The reversal of 83414240 is 4241438.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83414249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247352 + ... + 247688.

It is an arithmetic number, because the mean of its divisors is an integer number (1341522).

Almost surely, 2^83414240 is an apocalyptic number.

83414240 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 83414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112).

83414240 is an abundant number, since it is smaller than the sum of its proper divisors (174157984).

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

83414240 is a wasteful number, since it uses less digits than its factorization.

83414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 83414240 is about 9133.1396573139. The cubic root of 83414240 is about 436.9315436129.

Adding to 83414240 its reverse (4241438), we get a palindrome (87655678).

The spelling of 83414240 in words is "eighty-three million, four hundred fourteen thousand, two hundred forty".