82512640 has 72 divisors (see below), whose sum is σ = 225902880. Its totient is φ = 28286976.

The previous prime is 82512631. The next prime is 82512641. The reversal of 82512640 is 4621528.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 82512599 and 82512608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82512641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4356 + ... + 13564.

It is an arithmetic number, because the mean of its divisors is an integer number (3137540).

Almost surely, 2^82512640 is an apocalyptic number.

82512640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112951440).

82512640 is an abundant number, since it is smaller than the sum of its proper divisors (143390240).

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

82512640 is an equidigital number, since it uses as much as digits as its factorization.

82512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9237 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 82512640 is about 9083.6468447425. The cubic root of 82512640 is about 435.3516160028.

The spelling of 82512640 in words is "eighty-two million, five hundred twelve thousand, six hundred forty".