10874800 has 60 divisors (see below), whose sum is σ = 27000256. Its totient is φ = 4204800.

The previous prime is 10874789. The next prime is 10874807. The reversal of 10874800 is 847801.

It is a super-2 number, since 2×10874800² = 236522550080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10874807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11962 + ... + 12838.

Almost surely, 2^10874800 is an apocalyptic number.

10874800 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 10874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500128).

10874800 is an abundant number, since it is smaller than the sum of its proper divisors (16125456).

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

10874800 is a wasteful number, since it uses less digits than its factorization.

10874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 10874800 is about 3297.6961655071. The cubic root of 10874800 is about 221.5510229008.

The spelling of 10874800 in words is "ten million, eight hundred seventy-four thousand, eight hundred".