10985040 has 240 divisors, whose sum is σ = 42943680. Its totient is φ = 2488320.

The previous prime is 10985011. The next prime is 10985047. The reversal of 10985040 is 4058901.

10985040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10985040² = 241342207603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10984995 and 10985013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150444 + ... + 150516.

It is an arithmetic number, because the mean of its divisors is an integer number (178932).

Almost surely, 2^10985040 is an apocalyptic number.

10985040 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 10985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21471840).

10985040 is an abundant number, since it is smaller than the sum of its proper divisors (31958640).

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

10985040 is a wasteful number, since it uses less digits than its factorization.

10985040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

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

The square root of 10985040 is about 3314.3687181724. The cubic root of 10985040 is about 222.2971428863.

The spelling of 10985040 in words is "ten million, nine hundred eighty-five thousand, forty".