11082024 has 48 divisors (see below), whose sum is σ = 30244500. Its totient is φ = 3665664.

The previous prime is 11082007. The next prime is 11082037. The reversal of 11082024 is 42028011.

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 72900 = 3318^2 + 270^2 .

It is a super-2 number, since 2×11082024² = 245622511873152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11081988 and 11082006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10212 + ... + 11244.

Almost surely, 2^11082024 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 11082024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15122250).

11082024 is an abundant number, since it is smaller than the sum of its proper divisors (19162476).

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

11082024 is a wasteful number, since it uses less digits than its factorization.

11082024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11082024 is about 3328.9674074704. The cubic root of 11082024 is about 222.9494278264.

The spelling of 11082024 in words is "eleven million, eighty-two thousand, twenty-four".