81829660 has 48 divisors (see below), whose sum is σ = 188116992. Its totient is φ = 29652800.

The previous prime is 81829633. The next prime is 81829661. The reversal of 81829660 is 6692818.

It is a super-3 number, since 3×81829660³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81829661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94389 + ... + 95251.

It is an arithmetic number, because the mean of its divisors is an integer number (3919104).

Almost surely, 2^81829660 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 81829660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94058496).

81829660 is an abundant number, since it is smaller than the sum of its proper divisors (106287332).

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

81829660 is a wasteful number, since it uses less digits than its factorization.

81829660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 81829660 is about 9045.9747954546. The cubic root of 81829660 is about 434.1471111783.

The spelling of 81829660 in words is "eighty-one million, eight hundred twenty-nine thousand, six hundred sixty".