11577690 has 48 divisors (see below), whose sum is σ = 30301128. Its totient is φ = 3067008.

The previous prime is 11577689. The next prime is 11577719. The reversal of 11577690 is 9677511.

It can be written as a sum of positive squares in 4 ways, for example, as 10673289 + 904401 = 3267^2 + 951^2 .

It is a super-2 number, since 2×11577690² = 268085811472200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17404 + ... + 18056.

Almost surely, 2^11577690 is an apocalyptic number.

11577690 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 11577690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150564).

11577690 is an abundant number, since it is smaller than the sum of its proper divisors (18723438).

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

11577690 is a wasteful number, since it uses less digits than its factorization.

11577690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 11577690 is about 3402.6004761065. The cubic root of 11577690 is about 226.2250219162.

The spelling of 11577690 in words is "eleven million, five hundred seventy-seven thousand, six hundred ninety".