82499640 has 128 divisors (see below), whose sum is σ = 269386560. Its totient is φ = 20127744.

The previous prime is 82499611. The next prime is 82499647. The reversal of 82499640 is 4699428.

It is a junction number, because it is equal to n+sod(n) for n = 82499592 and 82499601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82499647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74934 + ... + 76026.

Almost surely, 2^82499640 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 82499640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134693280).

82499640 is an abundant number, since it is smaller than the sum of its proper divisors (186886920).

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

82499640 is a wasteful number, since it uses less digits than its factorization.

82499640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 82499640 is about 9082.9312449231. The cubic root of 82499640 is about 435.3287513514.

The spelling of 82499640 in words is "eighty-two million, four hundred ninety-nine thousand, six hundred forty".