10854960 has 80 divisors (see below), whose sum is σ = 34759680. Its totient is φ = 2799360.

The previous prime is 10854953. The next prime is 10854973. The reversal of 10854960 is 6945801.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6711 + ... + 8169.

It is an arithmetic number, because the mean of its divisors is an integer number (434496).

Almost surely, 2^10854960 is an apocalyptic number.

10854960 is a gapful number since it is divisible by the number (10) 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 10854960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379840).

10854960 is an abundant number, since it is smaller than the sum of its proper divisors (23904720).

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

10854960 is a wasteful number, since it uses less digits than its factorization.

10854960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10854960 is about 3294.6866315327. The cubic root of 10854960 is about 221.4162082191.

The spelling of 10854960 in words is "ten million, eight hundred fifty-four thousand, nine hundred sixty".