11214840 has 192 divisors, whose sum is σ = 42163200. Its totient is φ = 2336256.

The previous prime is 11214829. The next prime is 11214871. The reversal of 11214840 is 4841211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 141921 + ... + 141999.

It is an arithmetic number, because the mean of its divisors is an integer number (219600).

Almost surely, 2^11214840 is an apocalyptic number.

11214840 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 11214840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081600).

11214840 is an abundant number, since it is smaller than the sum of its proper divisors (30948360).

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

11214840 is a wasteful number, since it uses less digits than its factorization.

11214840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 11214840 is about 3348.8565212621. The cubic root of 11214840 is about 223.8365623272.

The spelling of 11214840 in words is "eleven million, two hundred fourteen thousand, eight hundred forty".