10984140 has 48 divisors (see below), whose sum is σ = 34174560. Its totient is φ = 2928960.

The previous prime is 10984123. The next prime is 10984151. The reversal of 10984140 is 4148901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9631 + ... + 10710.

It is an arithmetic number, because the mean of its divisors is an integer number (711970).

Almost surely, 2^10984140 is an apocalyptic number.

10984140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10984140 is an abundant number, since it is smaller than the sum of its proper divisors (23190420).

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

10984140 is a wasteful number, since it uses less digits than its factorization.

10984140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20359 (or 20351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10984140 is about 3314.2329429296. The cubic root of 10984140 is about 222.2910718147.

The spelling of 10984140 in words is "ten million, nine hundred eighty-four thousand, one hundred forty".