82530640 has 20 divisors (see below), whose sum is σ = 191883924. Its totient is φ = 33012224.

The previous prime is 82530599. The next prime is 82530641. The reversal of 82530640 is 4603528.

It can be written as a sum of positive squares in 2 ways, for example, as 35141184 + 47389456 = 5928^2 + 6884^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×82530640² = 13622613077619200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82530599 and 82530608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82530641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 515737 + ... + 515896.

Almost surely, 2^82530640 is an apocalyptic number.

82530640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82530640 is an abundant number, since it is smaller than the sum of its proper divisors (109353284).

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

82530640 is a wasteful number, since it uses less digits than its factorization.

82530640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031646 (or 1031640 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 82530640 is about 9084.6375822044. The cubic root of 82530640 is about 435.3832707866.

The spelling of 82530640 in words is "eighty-two million, five hundred thirty thousand, six hundred forty".