82122240 has 240 divisors, whose sum is σ = 286423632. Its totient is φ = 20054016.

The previous prime is 82122239. The next prime is 82122251. The reversal of 82122240 is 4222128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 2219502 + ... + 2219538.

Almost surely, 2^82122240 is an apocalyptic number.

82122240 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 82122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143211816).

82122240 is an abundant number, since it is smaller than the sum of its proper divisors (204301392).

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

82122240 is a wasteful number, since it uses less digits than its factorization.

82122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 82122240 is about 9062.1321994330. The cubic root of 82122240 is about 434.6639232684.

Adding to 82122240 its reverse (4222128), we get a palindrome (86344368).

The spelling of 82122240 in words is "eighty-two million, one hundred twenty-two thousand, two hundred forty".