11137440 has 48 divisors (see below), whose sum is σ = 35084448. Its totient is φ = 2969856.

The previous prime is 11137409. The next prime is 11137453. The reversal of 11137440 is 4473111.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 11122 + ... + 12081.

It is an arithmetic number, because the mean of its divisors is an integer number (730926).

Almost surely, 2^11137440 is an apocalyptic number.

11137440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11137440 is an abundant number, since it is smaller than the sum of its proper divisors (23947008).

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

11137440 is a wasteful number, since it uses less digits than its factorization.

11137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23221 (or 23213 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 11137440 is about 3337.2803298494. The cubic root of 11137440 is about 223.3204319173.

The spelling of 11137440 in words is "eleven million, one hundred thirty-seven thousand, four hundred forty".