82696640 has 112 divisors (see below), whose sum is σ = 215237568. Its totient is φ = 30081024.

The previous prime is 82696637. The next prime is 82696657. The reversal of 82696640 is 4669628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428384 + ... + 428576.

It is an arithmetic number, because the mean of its divisors is an integer number (1921764).

Almost surely, 2^82696640 is an apocalyptic number.

82696640 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 82696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107618784).

82696640 is an abundant number, since it is smaller than the sum of its proper divisors (132540928).

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

82696640 is a wasteful number, since it uses less digits than its factorization.

82696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 82696640 is about 9093.7692955122. The cubic root of 82696640 is about 435.6749815201.

The spelling of 82696640 in words is "eighty-two million, six hundred ninety-six thousand, six hundred forty".