11514720 has 192 divisors, whose sum is σ = 43545600. Its totient is φ = 2500608.

The previous prime is 11514719. The next prime is 11514721. The reversal of 11514720 is 2741511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11514719) and next prime (11514721).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11514721) 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 31 ways as a sum of consecutive naturals, for example, 77206 + ... + 77354.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^11514720 is an apocalyptic number.

11514720 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 11514720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

11514720 is an abundant number, since it is smaller than the sum of its proper divisors (32030880).

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

11514720 is a wasteful number, since it uses less digits than its factorization.

11514720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 11514720 is about 3393.3346430908. The cubic root of 11514720 is about 225.8141370042.

The spelling of 11514720 in words is "eleven million, five hundred fourteen thousand, seven hundred twenty".