83457940 has 48 divisors (see below), whose sum is σ = 186253200. Its totient is φ = 31352832.

The previous prime is 83457929. The next prime is 83457949. The reversal of 83457940 is 4975438.

It can be written as a sum of positive squares in 8 ways, for example, as 6615184 + 76842756 = 2572^2 + 8766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83457893 and 83457902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83457949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19516 + ... + 23404.

It is an arithmetic number, because the mean of its divisors is an integer number (3880275).

Almost surely, 2^83457940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83457940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93126600).

83457940 is an abundant number, since it is smaller than the sum of its proper divisors (102795260).

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

83457940 is a wasteful number, since it uses less digits than its factorization.

83457940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 83457940 is about 9135.5317305562. The cubic root of 83457940 is about 437.0078318463.

The spelling of 83457940 in words is "eighty-three million, four hundred fifty-seven thousand, nine hundred forty".