11517090 has 32 divisors (see below), whose sum is σ = 29768256. Its totient is φ = 2834880.

The previous prime is 11517083. The next prime is 11517113. The reversal of 11517090 is 9071511.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11517090.

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, 14376 + ... + 15155.

It is an arithmetic number, because the mean of its divisors is an integer number (930258).

Almost surely, 2^11517090 is an apocalyptic number.

11517090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11517090 is an abundant number, since it is smaller than the sum of its proper divisors (18251166).

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

11517090 is a wasteful number, since it uses less digits than its factorization.

11517090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29554.

The product of its (nonzero) digits is 315, while the sum is 24.

The square root of 11517090 is about 3393.6838391341. The cubic root of 11517090 is about 225.8296285602.

It can be divided in two parts, 115 and 17090, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 11517090 in words is "eleven million, five hundred seventeen thousand, ninety".