10959984 has 120 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 3070080.

The previous prime is 10959967. The next prime is 10960007. The reversal of 10959984 is 48995901.

10959984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83599 + ... + 83729.

Almost surely, 2^10959984 is an apocalyptic number.

10959984 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 10959984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

10959984 is an abundant number, since it is smaller than the sum of its proper divisors (24787728).

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

10959984 is a wasteful number, since it uses less digits than its factorization.

10959984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 10959984 is about 3310.5866549601. The cubic root of 10959984 is about 222.1280002037.

The spelling of 10959984 in words is "ten million, nine hundred fifty-nine thousand, nine hundred eighty-four".