82465640 has 64 divisors (see below), whose sum is σ = 197879760. Its totient is φ = 30822400.

The previous prime is 82465633. The next prime is 82465661. The reversal of 82465640 is 4656428.

It can be written as a sum of positive squares in 8 ways, for example, as 76772644 + 5692996 = 8762^2 + 2386^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82465640.

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 15 ways as a sum of consecutive naturals, for example, 117290 + ... + 117990.

Almost surely, 2^82465640 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 82465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98939880).

82465640 is an abundant number, since it is smaller than the sum of its proper divisors (115414120).

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

82465640 is a wasteful number, since it uses less digits than its factorization.

82465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 82465640 is about 9081.0594095623. The cubic root of 82465640 is about 435.2689401356.

The spelling of 82465640 in words is "eighty-two million, four hundred sixty-five thousand, six hundred forty".