10993800 has 96 divisors (see below), whose sum is σ = 34685280. Its totient is φ = 2880000.

The previous prime is 10993789. The next prime is 10993811. The reversal of 10993800 is 839901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10993789) and next prime (10993811).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 43675 + ... + 43925.

It is an arithmetic number, because the mean of its divisors is an integer number (361305).

Almost surely, 2^10993800 is an apocalyptic number.

10993800 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 10993800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342640).

10993800 is an abundant number, since it is smaller than the sum of its proper divisors (23691480).

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

10993800 is a wasteful number, since it uses less digits than its factorization.

10993800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10993800 is about 3315.6899734444. The cubic root of 10993800 is about 222.3562173358.

The spelling of 10993800 in words is "ten million, nine hundred ninety-three thousand, eight hundred".