10991400 has 96 divisors (see below), whose sum is σ = 38955840. Its totient is φ = 2511360.

The previous prime is 10991399. The next prime is 10991423. The reversal of 10991400 is 419901.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2892 + ... + 5508.

It is an arithmetic number, because the mean of its divisors is an integer number (405790).

Almost surely, 2^10991400 is an apocalyptic number.

10991400 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 10991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477920).

10991400 is an abundant number, since it is smaller than the sum of its proper divisors (27964440).

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

10991400 is a wasteful number, since it uses less digits than its factorization.

10991400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 10991400 is about 3315.3280380680. The cubic root of 10991400 is about 222.3400356771.

The spelling of 10991400 in words is "ten million, nine hundred ninety-one thousand, four hundred".