82368240 has 80 divisors (see below), whose sum is σ = 263602176. Its totient is φ = 21254400.

The previous prime is 82368193. The next prime is 82368269. The reversal of 82368240 is 4286328.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1905 + ... + 12975.

Almost surely, 2^82368240 is an apocalyptic number.

82368240 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 82368240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131801088).

82368240 is an abundant number, since it is smaller than the sum of its proper divisors (181233936).

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

82368240 is a wasteful number, since it uses less digits than its factorization.

82368240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11118 (or 11112 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 82368240 is about 9075.6950147082. The cubic root of 82368240 is about 435.0975075378.

The spelling of 82368240 in words is "eighty-two million, three hundred sixty-eight thousand, two hundred forty".