11633016 has 64 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 3621888.

The previous prime is 11633003. The next prime is 11633033. The reversal of 11633016 is 61033611.

It is a super-2 number, since 2×11633016² = 270654122512512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11632983 and 11633001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44101 + ... + 44363.

It is an arithmetic number, because the mean of its divisors is an integer number (485100).

Almost surely, 2^11633016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11633016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

11633016 is an abundant number, since it is smaller than the sum of its proper divisors (19413384).

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

11633016 is a wasteful number, since it uses less digits than its factorization.

11633016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 11633016 is about 3410.7207449453. The cubic root of 11633016 is about 226.5848012705.

Adding to 11633016 its reverse (61033611), we get a palindrome (72666627).

The spelling of 11633016 in words is "eleven million, six hundred thirty-three thousand, sixteen".