81162960 has 80 divisors (see below), whose sum is σ = 259745280. Its totient is φ = 20943360.

The previous prime is 81162959. The next prime is 81162971. The reversal of 81162960 is 6926118.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1986 + ... + 12894.

It is an arithmetic number, because the mean of its divisors is an integer number (3246816).

Almost surely, 2^81162960 is an apocalyptic number.

81162960 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 81162960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129872640).

81162960 is an abundant number, since it is smaller than the sum of its proper divisors (178582320).

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

81162960 is a wasteful number, since it uses less digits than its factorization.

81162960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10950 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 81162960 is about 9009.0487844167. The cubic root of 81162960 is about 432.9648359705.

The spelling of 81162960 in words is "eighty-one million, one hundred sixty-two thousand, nine hundred sixty".