82448640 has 216 divisors, whose sum is σ = 302761368. Its totient is φ = 20643840.

The previous prime is 82448627. The next prime is 82448651. The reversal of 82448640 is 4684428.

82448640 is a `hidden beast` number, since 8 + 2 + 4 + 4 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 81432576 = 1008^2 + 9024^2 .

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 = 82448595 and 82448604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195630 + ... + 196050.

It is an arithmetic number, because the mean of its divisors is an integer number (1401673).

Almost surely, 2^82448640 is an apocalyptic number.

82448640 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 82448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151380684).

82448640 is an abundant number, since it is smaller than the sum of its proper divisors (220312728).

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

82448640 is a wasteful number, since it uses less digits than its factorization.

82448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 82448640 is about 9080.1233471798. The cubic root of 82448640 is about 435.2390283626.

The spelling of 82448640 in words is "eighty-two million, four hundred forty-eight thousand, six hundred forty".