10991376 has 120 divisors (see below), whose sum is σ = 34935264. Its totient is φ = 3317760.

The previous prime is 10991369. The next prime is 10991381. The reversal of 10991376 is 67319901.

10991376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10991376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42640 + ... + 42896.

Almost surely, 2^10991376 is an apocalyptic number.

10991376 is a gapful number since it is divisible by the number (16) 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 10991376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467632).

10991376 is an abundant number, since it is smaller than the sum of its proper divisors (23943888).

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

10991376 is a wasteful number, since it uses less digits than its factorization.

10991376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 10991376 is about 3315.3244185147. The cubic root of 10991376 is about 222.3398738486.

The spelling of 10991376 in words is "ten million, nine hundred ninety-one thousand, three hundred seventy-six".