11454720 has 144 divisors (see below), whose sum is σ = 38754240. Its totient is φ = 2875392.

The previous prime is 11454691. The next prime is 11454721. The reversal of 11454720 is 2745411.

It is a super-2 number, since 2×11454720² = 262421220556800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11454721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72882 + ... + 73038.

Almost surely, 2^11454720 is an apocalyptic number.

11454720 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 11454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19377120).

11454720 is an abundant number, since it is smaller than the sum of its proper divisors (27299520).

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

11454720 is a wasteful number, since it uses less digits than its factorization.

11454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

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

The square root of 11454720 is about 3384.4822351432. The cubic root of 11454720 is about 225.4212355796.

The spelling of 11454720 in words is "eleven million, four hundred fifty-four thousand, seven hundred twenty".