81045888 has 128 divisors (see below), whose sum is σ = 268496640. Its totient is φ = 21043200.

The previous prime is 81045883. The next prime is 81045893. The reversal of 81045888 is 88854018.

It is an interprime number because it is at equal distance from previous prime (81045883) and next prime (81045893).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81045883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28198 + ... + 30938.

It is an arithmetic number, because the mean of its divisors is an integer number (2097630).

Almost surely, 2^81045888 is an apocalyptic number.

81045888 is a gapful number since it is divisible by the number (88) 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 81045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134248320).

81045888 is an abundant number, since it is smaller than the sum of its proper divisors (187450752).

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

81045888 is a wasteful number, since it uses less digits than its factorization.

81045888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 81045888 is about 9002.5489723744. The cubic root of 81045888 is about 432.7565617767.

The spelling of 81045888 in words is "eighty-one million, forty-five thousand, eight hundred eighty-eight".