10985400 has 144 divisors (see below), whose sum is σ = 39171600. Its totient is φ = 2749440.

The previous prime is 10985389. The next prime is 10985407. The reversal of 10985400 is 458901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30421 + ... + 30779.

It is an arithmetic number, because the mean of its divisors is an integer number (272025).

Almost surely, 2^10985400 is an apocalyptic number.

10985400 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 10985400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585800).

10985400 is an abundant number, since it is smaller than the sum of its proper divisors (28186200).

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

10985400 is a wasteful number, since it uses less digits than its factorization.

10985400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10985400 is about 3314.4230267122. The cubic root of 10985400 is about 222.2995712221.

The spelling of 10985400 in words is "ten million, nine hundred eighty-five thousand, four hundred".