11457024 has 40 divisors (see below), whose sum is σ = 30526320. Its totient is φ = 3818496.

The previous prime is 11457007. The next prime is 11457029. The reversal of 11457024 is 42075411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11456985 and 11457003.

It is not an unprimeable number, because it can be changed into a prime (11457029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2194 + ... + 5265.

It is an arithmetic number, because the mean of its divisors is an integer number (763158).

Almost surely, 2^11457024 is an apocalyptic number.

It is an amenable number.

11457024 is an abundant number, since it is smaller than the sum of its proper divisors (19069296).

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

11457024 is an frugal number, since it uses more digits than its factorization.

11457024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 11457024 is about 3384.8225950558. The cubic root of 11457024 is about 225.4363482932.

The spelling of 11457024 in words is "eleven million, four hundred fifty-seven thousand, twenty-four".