11514320 has 40 divisors (see below), whose sum is σ = 26965536. Its totient is φ = 4572288.

The previous prime is 11514319. The next prime is 11514337. The reversal of 11514320 is 2341511.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12599 + ... + 13481.

Almost surely, 2^11514320 is an apocalyptic number.

11514320 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 11514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482768).

11514320 is an abundant number, since it is smaller than the sum of its proper divisors (15451216).

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

11514320 is a wasteful number, since it uses less digits than its factorization.

11514320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 11514320 is about 3393.2757035054. The cubic root of 11514320 is about 225.8115221859.

Adding to 11514320 its reverse (2341511), we get a palindrome (13855831).

The spelling of 11514320 in words is "eleven million, five hundred fourteen thousand, three hundred twenty".