11295240 has 128 divisors (see below), whose sum is σ = 38016000. Its totient is φ = 2661120.

The previous prime is 11295233. The next prime is 11295247. The reversal of 11295240 is 4259211.

It is an interprime number because it is at equal distance from previous prime (11295233) and next prime (11295247).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11295240.

It is not an unprimeable number, because it can be changed into a prime (11295247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56661 + ... + 56859.

It is an arithmetic number, because the mean of its divisors is an integer number (297000).

Almost surely, 2^11295240 is an apocalyptic number.

11295240 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 11295240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008000).

11295240 is an abundant number, since it is smaller than the sum of its proper divisors (26720760).

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

11295240 is a wasteful number, since it uses less digits than its factorization.

11295240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11295240 is about 3360.8391809190. The cubic root of 11295240 is about 224.3701893222.

The spelling of 11295240 in words is "eleven million, two hundred ninety-five thousand, two hundred forty".