82480640 has 160 divisors (see below), whose sum is σ = 225387360. Its totient is φ = 28672000.

The previous prime is 82480631. The next prime is 82480687. The reversal of 82480640 is 4608428.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 82480597 and 82480606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816590 + ... + 816690.

It is an arithmetic number, because the mean of its divisors is an integer number (1408671).

Almost surely, 2^82480640 is an apocalyptic number.

82480640 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 82480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112693680).

82480640 is an abundant number, since it is smaller than the sum of its proper divisors (142906720).

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

82480640 is a wasteful number, since it uses less digits than its factorization.

82480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 82480640 is about 9081.8852668375. The cubic root of 82480640 is about 435.2953294628.

The spelling of 82480640 in words is "eighty-two million, four hundred eighty thousand, six hundred forty".