10776960 has 96 divisors (see below), whose sum is σ = 37234080. Its totient is φ = 2872320.

The previous prime is 10776919. The next prime is 10776979. The reversal of 10776960 is 6967701.

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

It is a super-2 number, since 2×10776960² = 232285733683200, which contains 22 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4825 + ... + 6695.

It is an arithmetic number, because the mean of its divisors is an integer number (387855).

Almost surely, 2^10776960 is an apocalyptic number.

10776960 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 10776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617040).

10776960 is an abundant number, since it is smaller than the sum of its proper divisors (26457120).

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

10776960 is a wasteful number, since it uses less digits than its factorization.

10776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 10776960 is about 3282.8280491064. The cubic root of 10776960 is about 220.8845926656.

The spelling of 10776960 in words is "ten million, seven hundred seventy-six thousand, nine hundred sixty".