82542240 has 288 divisors, whose sum is σ = 320314176. Its totient is φ = 19906560.

The previous prime is 82542221. The next prime is 82542263. The reversal of 82542240 is 4224528.

It is a happy number.

82542240 is a `hidden beast` number, since 82 + 542 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427584 + ... + 427776.

It is an arithmetic number, because the mean of its divisors is an integer number (1112202).

Almost surely, 2^82542240 is an apocalyptic number.

82542240 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 82542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160157088).

82542240 is an abundant number, since it is smaller than the sum of its proper divisors (237771936).

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

82542240 is a wasteful number, since it uses less digits than its factorization.

82542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 82542240 is about 9085.2760002105. The cubic root of 82542240 is about 435.4036680974.

Adding to 82542240 its reverse (4224528), we get a palindrome (86766768).

The spelling of 82542240 in words is "eighty-two million, five hundred forty-two thousand, two hundred forty".