11638350 has 96 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 3006720.

The previous prime is 11638349. The next prime is 11638409. The reversal of 11638350 is 5383611.

11638350 is nontrivially palindromic in base 4.

11638350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49834 + ... + 50066.

It is an arithmetic number, because the mean of its divisors is an integer number (344565).

Almost surely, 2^11638350 is an apocalyptic number.

11638350 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 11638350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

11638350 is an abundant number, since it is smaller than the sum of its proper divisors (21439890).

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

11638350 is a wasteful number, since it uses less digits than its factorization.

11638350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11638350 is about 3411.5026014940. The cubic root of 11638350 is about 226.6194273913.

The spelling of 11638350 in words is "eleven million, six hundred thirty-eight thousand, three hundred fifty".