81885600 has 288 divisors, whose sum is σ = 314979840. Its totient is φ = 20459520.

The previous prime is 81885599. The next prime is 81885613. The reversal of 81885600 is 658818.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367089 + ... + 367311.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^81885600 is an apocalyptic number.

81885600 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 81885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

81885600 is an abundant number, since it is smaller than the sum of its proper divisors (233094240).

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

81885600 is a wasteful number, since it uses less digits than its factorization.

81885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 81885600 is about 9049.0662501719. The cubic root of 81885600 is about 434.2460184994.

The spelling of 81885600 in words is "eighty-one million, eight hundred eighty-five thousand, six hundred".