11189640 has 192 divisors, whose sum is σ = 42845760. Its totient is φ = 2311680.

The previous prime is 11189623. The next prime is 11189641. The reversal of 11189640 is 4698111.

11189640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11189598 and 11189607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11189641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64594 + ... + 64766.

It is an arithmetic number, because the mean of its divisors is an integer number (223155).

Almost surely, 2^11189640 is an apocalyptic number.

11189640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11189640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21422880).

11189640 is an abundant number, since it is smaller than the sum of its proper divisors (31656120).

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

11189640 is a wasteful number, since it uses less digits than its factorization.

11189640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11189640 is about 3345.0919269880. The cubic root of 11189640 is about 223.6687813166.

The spelling of 11189640 in words is "eleven million, one hundred eighty-nine thousand, six hundred forty".