81417888 has 72 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 25709184.

The previous prime is 81417883. The next prime is 81417893. The reversal of 81417888 is 88871418.

It is an interprime number because it is at equal distance from previous prime (81417883) and next prime (81417893).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (81417883) 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, 1968 + ... + 12911.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^81417888 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 81417888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

81417888 is an abundant number, since it is smaller than the sum of its proper divisors (162316512).

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

81417888 is a wasteful number, since it uses less digits than its factorization.

81417888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14914 (or 14903 counting only the distinct ones).

The product of its digits is 114688, while the sum is 45.

The square root of 81417888 is about 9023.1861335118. The cubic root of 81417888 is about 433.4176677411.

The spelling of 81417888 in words is "eighty-one million, four hundred seventeen thousand, eight hundred eighty-eight".