11274240 has 96 divisors (see below), whose sum is σ = 36167040. Its totient is φ = 2998272.

The previous prime is 11274229. The next prime is 11274257. The reversal of 11274240 is 4247211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30537 + ... + 30903.

It is an arithmetic number, because the mean of its divisors is an integer number (376740).

Almost surely, 2^11274240 is an apocalyptic number.

11274240 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 11274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083520).

11274240 is an abundant number, since it is smaller than the sum of its proper divisors (24892800).

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

11274240 is an equidigital number, since it uses as much as digits as its factorization.

11274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 11274240 is about 3357.7135077311. The cubic root of 11274240 is about 224.2310541047.

The spelling of 11274240 in words is "eleven million, two hundred seventy-four thousand, two hundred forty".