11008020 has 48 divisors (see below), whose sum is σ = 30981888. Its totient is φ = 2920320.

The previous prime is 11008013. The next prime is 11008031. The reversal of 11008020 is 2080011.

It is a happy number.

11008020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11007987 and 11008005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15922 + ... + 16598.

It is an arithmetic number, because the mean of its divisors is an integer number (645456).

Almost surely, 2^11008020 is an apocalyptic number.

11008020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11008020 is an abundant number, since it is smaller than the sum of its proper divisors (19973868).

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

11008020 is a wasteful number, since it uses less digits than its factorization.

11008020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11008020 is about 3317.8336305487. The cubic root of 11008020 is about 222.4520453821.

11008020 divided by its sum of digits (12) gives a triangular number (917335 = T₁₃₅₄).

Adding to 11008020 its reverse (2080011), we get a palindrome (13088031).

The spelling of 11008020 in words is "eleven million, eight thousand, twenty".