10749984 has 96 divisors (see below), whose sum is σ = 34183296. Its totient is φ = 2887680.

The previous prime is 10749983. The next prime is 10749989. The reversal of 10749984 is 48994701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10749983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10954 + ... + 11894.

It is an arithmetic number, because the mean of its divisors is an integer number (356076).

Almost surely, 2^10749984 is an apocalyptic number.

10749984 is a gapful number since it is divisible by the number (14) 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 10749984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091648).

10749984 is an abundant number, since it is smaller than the sum of its proper divisors (23433312).

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

10749984 is a wasteful number, since it uses less digits than its factorization.

10749984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 10749984 is about 3278.7168221730. The cubic root of 10749984 is about 220.7001386274.

The spelling of 10749984 in words is "ten million, seven hundred forty-nine thousand, nine hundred eighty-four".