83507640 has 64 divisors (see below), whose sum is σ = 251510400. Its totient is φ = 22180992.

The previous prime is 83507639. The next prime is 83507647. The reversal of 83507640 is 4670538.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83507647) 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, 32731 + ... + 35189.

It is an arithmetic number, because the mean of its divisors is an integer number (3929850).

Almost surely, 2^83507640 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 83507640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125755200).

83507640 is an abundant number, since it is smaller than the sum of its proper divisors (168002760).

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

83507640 is a wasteful number, since it uses less digits than its factorization.

83507640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 83507640 is about 9138.2514738871. The cubic root of 83507640 is about 437.0945620776.

The spelling of 83507640 in words is "eighty-three million, five hundred seven thousand, six hundred forty".