10579984 has 40 divisors (see below), whose sum is σ = 21982968. Its totient is φ = 4915200.

The previous prime is 10579981. The next prime is 10579997. The reversal of 10579984 is 48997501.

It can be written as a sum of positive squares in 4 ways, for example, as 6051600 + 4528384 = 2460^2 + 2128^2 .

It is a super-2 number, since 2×10579984² = 223872122880512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10579984.

It is not an unprimeable number, because it can be changed into a prime (10579981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26184 + ... + 26584.

Almost surely, 2^10579984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10579984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10991484).

10579984 is an abundant number, since it is smaller than the sum of its proper divisors (11402984).

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

10579984 is a wasteful number, since it uses less digits than its factorization.

10579984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 10579984 is about 3252.6887339553. The cubic root of 10579984 is about 219.5305693005.

It can be divided in two parts, 105 and 79984, that added together give a square (80089 = 283²).

The spelling of 10579984 in words is "ten million, five hundred seventy-nine thousand, nine hundred eighty-four".