81529600 has 54 divisors (see below), whose sum is σ = 201814340. Its totient is φ = 32609280.

The previous prime is 81529571. The next prime is 81529619. The reversal of 81529600 is 692518.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31 + ... + 12769.

Almost surely, 2^81529600 is an apocalyptic number.

81529600 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 81529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100907170).

81529600 is an abundant number, since it is smaller than the sum of its proper divisors (120284740).

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

81529600 is a wasteful number, since it uses less digits than its factorization.

81529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765 (or 12746 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 81529600 is about 9029.3742861840. The cubic root of 81529600 is about 433.6158053089.

The spelling of 81529600 in words is "eighty-one million, five hundred twenty-nine thousand, six hundred".