83247840 has 144 divisors (see below), whose sum is σ = 306004608. Its totient is φ = 20487168.

The previous prime is 83247839. The next prime is 83247847. The reversal of 83247840 is 4874238.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83247795 and 83247804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83247847) 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, 16497 + ... + 20943.

It is an arithmetic number, because the mean of its divisors is an integer number (2125032).

Almost surely, 2^83247840 is an apocalyptic number.

83247840 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 83247840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153002304).

83247840 is an abundant number, since it is smaller than the sum of its proper divisors (222756768).

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

83247840 is a wasteful number, since it uses less digits than its factorization.

83247840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 83247840 is about 9124.0254274087. The cubic root of 83247840 is about 436.6408106465.

The spelling of 83247840 in words is "eighty-three million, two hundred forty-seven thousand, eight hundred forty".