81048960 has 96 divisors (see below), whose sum is σ = 279892080. Its totient is φ = 21611520.

The previous prime is 81048959. The next prime is 81048971. The reversal of 81048960 is 6984018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1276 + ... + 12795.

Almost surely, 2^81048960 is an apocalyptic number.

81048960 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 81048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139946040).

81048960 is an abundant number, since it is smaller than the sum of its proper divisors (198843120).

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

81048960 is a wasteful number, since it uses less digits than its factorization.

81048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14096 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 81048960 is about 9002.7195891020. The cubic root of 81048960 is about 432.7620295078.

It can be divided in two parts, 810 and 48960, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 81048960 in words is "eighty-one million, forty-eight thousand, nine hundred sixty".