11472680 has 32 divisors (see below), whose sum is σ = 26173800. Its totient is φ = 4525056.

The previous prime is 11472667. The next prime is 11472683. The reversal of 11472680 is 8627411.

11472680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7496644 + 3976036 = 2738^2 + 1994^2 .

It is not an unprimeable number, because it can be changed into a prime (11472683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 956 + ... + 4884.

Almost surely, 2^11472680 is an apocalyptic number.

11472680 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 11472680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086900).

11472680 is an abundant number, since it is smaller than the sum of its proper divisors (14701120).

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

11472680 is a wasteful number, since it uses less digits than its factorization.

11472680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 11472680 is about 3387.1344821250. The cubic root of 11472680 is about 225.5389876591.

It can be divided in two parts, 1147 and 2680, that multiplied together give a triangular number (3073960 = T₂₄₇₉).

The spelling of 11472680 in words is "eleven million, four hundred seventy-two thousand, six hundred eighty".