11264016 has 40 divisors (see below), whose sum is σ = 29583424. Its totient is φ = 3692160.

The previous prime is 11264009. The next prime is 11264023. The reversal of 11264016 is 61046211.

It is an interprime number because it is at equal distance from previous prime (11264009) and next prime (11264023).

It is a junction number, because it is equal to n+sod(n) for n = 11263983 and 11264001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005 + ... + 4851.

Almost surely, 2^11264016 is an apocalyptic number.

11264016 is a gapful number since it is divisible by the number (16) 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 11264016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791712).

11264016 is an abundant number, since it is smaller than the sum of its proper divisors (18319408).

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

11264016 is a wasteful number, since it uses less digits than its factorization.

11264016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11264016 is about 3356.1906978001. The cubic root of 11264016 is about 224.1632525902.

The spelling of 11264016 in words is "eleven million, two hundred sixty-four thousand, sixteen".