10985200 has 60 divisors (see below), whose sum is σ = 27330840. Its totient is φ = 4238080.

The previous prime is 10985197. The next prime is 10985201. The reversal of 10985200 is 258901.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985201) 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, 11127 + ... + 12073.

It is an arithmetic number, because the mean of its divisors is an integer number (455514).

Almost surely, 2^10985200 is an apocalyptic number.

10985200 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 10985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665420).

10985200 is an abundant number, since it is smaller than the sum of its proper divisors (16345640).

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

10985200 is a wasteful number, since it uses less digits than its factorization.

10985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 10985200 is about 3314.3928554111. The cubic root of 10985200 is about 222.2982221532.

It can be divided in two parts, 10985 and 200, that multiplied together give a cube (2197000 = 130³).

The spelling of 10985200 in words is "ten million, nine hundred eighty-five thousand, two hundred".