10876320 has 288 divisors, whose sum is σ = 46230912. Its totient is φ = 2267136.

The previous prime is 10876301. The next prime is 10876339. The reversal of 10876320 is 2367801.

10876320 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10876301) and next prime (10876339).

It is a tau number, because it is divible by the number of its divisors (288).

10876320 is strictly pandigital in base 8.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130999 + ... + 131081.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 2^10876320 is an apocalyptic number.

10876320 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 10876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

10876320 is an abundant number, since it is smaller than the sum of its proper divisors (35354592).

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

10876320 is a wasteful number, since it uses less digits than its factorization.

10876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10876320 is about 3297.9266213790. The cubic root of 10876320 is about 221.5613446804.

The spelling of 10876320 in words is "ten million, eight hundred seventy-six thousand, three hundred twenty".