11472840 has 80 divisors (see below), whose sum is σ = 38572380. Its totient is φ = 3058560.

The previous prime is 11472833. The next prime is 11472847. The reversal of 11472840 is 4827411.

It is an interprime number because it is at equal distance from previous prime (11472833) and next prime (11472847).

It can be written as a sum of positive squares in 2 ways, for example, as 11329956 + 142884 = 3366^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11472847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1470 + ... + 5010.

Almost surely, 2^11472840 is an apocalyptic number.

11472840 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 11472840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19286190).

11472840 is an abundant number, since it is smaller than the sum of its proper divisors (27099540).

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

11472840 is a wasteful number, since it uses less digits than its factorization.

11472840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 11472840 is about 3387.1581008273. The cubic root of 11472840 is about 225.5400361229.

The spelling of 11472840 in words is "eleven million, four hundred seventy-two thousand, eight hundred forty".