82907640 has 384 divisors, whose sum is σ = 323481600. Its totient is φ = 18247680.

The previous prime is 82907611. The next prime is 82907641. The reversal of 82907640 is 4670928.

82907640 is a `hidden beast` number, since 8 + 2 + 9 + 0 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82907595 and 82907604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82907641) 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 95 ways as a sum of consecutive naturals, for example, 2674425 + ... + 2674455.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 2^82907640 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 82907640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

82907640 is an abundant number, since it is smaller than the sum of its proper divisors (240573960).

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

82907640 is a wasteful number, since it uses less digits than its factorization.

82907640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82907640 is about 9105.3632546977. The cubic root of 82907640 is about 436.0452075560.

The spelling of 82907640 in words is "eighty-two million, nine hundred seven thousand, six hundred forty".