82304640 has 256 divisors, whose sum is σ = 318729600. Its totient is φ = 19906560.

The previous prime is 82304627. The next prime is 82304641. The reversal of 82304640 is 4640328.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82304641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189864 + ... + 190296.

Almost surely, 2^82304640 is an apocalyptic number.

82304640 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 82304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

82304640 is an abundant number, since it is smaller than the sum of its proper divisors (236424960).

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

82304640 is a wasteful number, since it uses less digits than its factorization.

82304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82304640 is about 9072.1904741909. The cubic root of 82304640 is about 434.9854929764.

Adding to 82304640 its reverse (4640328), we get a palindrome (86944968).

It can be divided in two parts, 82304 and 640, that added together give a square (82944 = 288²).

The spelling of 82304640 in words is "eighty-two million, three hundred four thousand, six hundred forty".