81628600 has 48 divisors (see below), whose sum is σ = 192420720. Its totient is φ = 32198400.

The previous prime is 81628571. The next prime is 81628609. The reversal of 81628600 is 682618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81628609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11805 + ... + 17395.

It is an arithmetic number, because the mean of its divisors is an integer number (4008765).

Almost surely, 2^81628600 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 81628600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96210360).

81628600 is an abundant number, since it is smaller than the sum of its proper divisors (110792120).

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

81628600 is a wasteful number, since it uses less digits than its factorization.

81628600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 81628600 is about 9034.8547304315. The cubic root of 81628600 is about 433.7912450709.

It can be divided in two parts, 81628 and 600, that added together give a palindrome (82228).

The spelling of 81628600 in words is "eighty-one million, six hundred twenty-eight thousand, six hundred".