82445640 has 64 divisors (see below), whose sum is σ = 249687360. Its totient is φ = 21776640.

The previous prime is 82445633. The next prime is 82445653. The reversal of 82445640 is 4654428.

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, 9630 + ... + 16050.

It is an arithmetic number, because the mean of its divisors is an integer number (3901365).

Almost surely, 2^82445640 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 82445640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124843680).

82445640 is an abundant number, since it is smaller than the sum of its proper divisors (167241720).

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

82445640 is a wasteful number, since it uses less digits than its factorization.

82445640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 82445640 is about 9079.9581496833. The cubic root of 82445640 is about 435.2337493876.

It can be divided in two parts, 824 and 45640, that added together give a palindrome (46464).

The spelling of 82445640 in words is "eighty-two million, four hundred forty-five thousand, six hundred forty".