11385690 has 64 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 2799104.

The previous prime is 11385623. The next prime is 11385739. The reversal of 11385690 is 9658311.

It is a super-2 number, since 2×11385690² = 259267873552200, which contains 22 as substring.

It is a nialpdrome in base 15.

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, 19726 + ... + 20294.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 2^11385690 is an apocalyptic number.

11385690 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 11385690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

11385690 is an abundant number, since it is smaller than the sum of its proper divisors (18163110).

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

11385690 is a wasteful number, since it uses less digits than its factorization.

11385690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 11385690 is about 3374.2688096831. The cubic root of 11385690 is about 224.9675014790.

The spelling of 11385690 in words is "eleven million, three hundred eighty-five thousand, six hundred ninety".