11617290 has 64 divisors (see below), whose sum is σ = 32814720. Its totient is φ = 2914560.

The previous prime is 11617289. The next prime is 11617301. The reversal of 11617290 is 9271611.

It is a super-2 number, since 2×11617290² = 269922853888200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3325 + ... + 5855.

It is an arithmetic number, because the mean of its divisors is an integer number (512730).

Almost surely, 2^11617290 is an apocalyptic number.

11617290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11617290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16407360).

11617290 is an abundant number, since it is smaller than the sum of its proper divisors (21197430).

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

11617290 is a wasteful number, since it uses less digits than its factorization.

11617290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11617290 is about 3408.4145874585. The cubic root of 11617290 is about 226.4826529410.

The spelling of 11617290 in words is "eleven million, six hundred seventeen thousand, two hundred ninety".