81465768 has 192 divisors, whose sum is σ = 256089600. Its totient is φ = 23224320.

The previous prime is 81465763. The next prime is 81465781. The reversal of 81465768 is 86756418.

It is a happy number.

Its product of digits (322560) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (81465763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720880 + ... + 720992.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 2^81465768 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 81465768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

81465768 is an abundant number, since it is smaller than the sum of its proper divisors (174623832).

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

81465768 is a wasteful number, since it uses less digits than its factorization.

81465768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 81465768 is about 9025.8389083785. The cubic root of 81465768 is about 433.5026121018.

The spelling of 81465768 in words is "eighty-one million, four hundred sixty-five thousand, seven hundred sixty-eight".