82007640 has 384 divisors, whose sum is σ = 330220800. Its totient is φ = 18040320.

The previous prime is 82007633. The next prime is 82007659. The reversal of 82007640 is 4670028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1389931 + ... + 1389989.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^82007640 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 82007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

82007640 is an abundant number, since it is smaller than the sum of its proper divisors (248213160).

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

82007640 is a wasteful number, since it uses less digits than its factorization.

82007640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82007640 is about 9055.8069767415. The cubic root of 82007640 is about 434.4616407751.

Adding to 82007640 its reverse (4670028), we get a palindrome (86677668).

The spelling of 82007640 in words is "eighty-two million, seven thousand, six hundred forty".