83413440 has 168 divisors, whose sum is σ = 313108848. Its totient is φ = 20213760.

The previous prime is 83413411. The next prime is 83413469. The reversal of 83413440 is 4431438.

It is an interprime number because it is at equal distance from previous prime (83413411) and next prime (83413469).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30364 + ... + 32996.

Almost surely, 2^83413440 is an apocalyptic number.

83413440 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 83413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156554424).

83413440 is an abundant number, since it is smaller than the sum of its proper divisors (229695408).

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

83413440 is a wasteful number, since it uses less digits than its factorization.

83413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 83413440 is about 9133.0958606597. The cubic root of 83413440 is about 436.9301467836.

Adding to 83413440 its reverse (4431438), we get a palindrome (87844878).

It can be divided in two parts, 8341 and 3440, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 83413440 in words is "eighty-three million, four hundred thirteen thousand, four hundred forty".