11415264 has 48 divisors (see below), whose sum is σ = 34247808. Its totient is φ = 3261312.

The previous prime is 11415247. The next prime is 11415269. The reversal of 11415264 is 46251411.

11415264 = T₁₂₅ + T₁₂₆ + ... + T₄₁₂.

It is a happy number.

11415264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11415269) 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, 7822 + ... + 9165.

It is an arithmetic number, because the mean of its divisors is an integer number (713496).

Almost surely, 2^11415264 is an apocalyptic number.

11415264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11415264 is an abundant number, since it is smaller than the sum of its proper divisors (22832544).

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

11415264 is a wasteful number, since it uses less digits than its factorization.

11415264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17007 (or 16999 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 11415264 is about 3378.6482504102. The cubic root of 11415264 is about 225.1621152647.

Adding to 11415264 its reverse (46251411), we get a palindrome (57666675).

The spelling of 11415264 in words is "eleven million, four hundred fifteen thousand, two hundred sixty-four".