82623060 has 288 divisors, whose sum is σ = 299400192. Its totient is φ = 18247680.

The previous prime is 82623049. The next prime is 82623067. The reversal of 82623060 is 6032628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82623067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1233147 + ... + 1233213.

It is an arithmetic number, because the mean of its divisors is an integer number (1039584).

Almost surely, 2^82623060 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 82623060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096).

82623060 is an abundant number, since it is smaller than the sum of its proper divisors (216777132).

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

82623060 is a wasteful number, since it uses less digits than its factorization.

82623060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 82623060 is about 9089.7227680496. The cubic root of 82623060 is about 435.5457280724.

Adding to 82623060 its reverse (6032628), we get a palindrome (88655688).

The spelling of 82623060 in words is "eighty-two million, six hundred twenty-three thousand, sixty".