82626120 has 192 divisors, whose sum is σ = 297198720. Its totient is φ = 19802112.

The previous prime is 82626113. The next prime is 82626121. The reversal of 82626120 is 2162628.

It is not an unprimeable number, because it can be changed into a prime (82626121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140467 + ... + 141053.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^82626120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82626120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

82626120 is an abundant number, since it is smaller than the sum of its proper divisors (214572600).

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

82626120 is a wasteful number, since it uses less digits than its factorization.

82626120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82626120 is about 9089.8910884565. The cubic root of 82626120 is about 435.5511049146.

Adding to 82626120 its reverse (2162628), we get a palindrome (84788748).

It can be divided in two parts, 826261 and 20, that added together give a square (826281 = 909²).

The spelling of 82626120 in words is "eighty-two million, six hundred twenty-six thousand, one hundred twenty".