11038820 has 24 divisors (see below), whose sum is σ = 24965304. Its totient is φ = 4075776.

The previous prime is 11038817. The next prime is 11038823. The reversal of 11038820 is 2883011.

It is an interprime number because it is at equal distance from previous prime (11038817) and next prime (11038823).

It can be written as a sum of positive squares in 4 ways, for example, as 1503076 + 9535744 = 1226^2 + 3088^2 .

It is not an unprimeable number, because it can be changed into a prime (11038823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20969 + ... + 21488.

It is an arithmetic number, because the mean of its divisors is an integer number (1040221).

Almost surely, 2^11038820 is an apocalyptic number.

11038820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11038820 is an abundant number, since it is smaller than the sum of its proper divisors (13926484).

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

11038820 is a wasteful number, since it uses less digits than its factorization.

11038820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42479 (or 42477 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11038820 is about 3322.4719712888. The cubic root of 11038820 is about 222.6593228282.

The spelling of 11038820 in words is "eleven million, thirty-eight thousand, eight hundred twenty".