11613672 has 64 divisors (see below), whose sum is σ = 36873600. Its totient is φ = 3317760.

The previous prime is 11613649. The next prime is 11613677. The reversal of 11613672 is 27631611.

11613672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11613677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329 + ... + 5352.

It is an arithmetic number, because the mean of its divisors is an integer number (576150).

Almost surely, 2^11613672 is an apocalyptic number.

11613672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11613672 is an abundant number, since it is smaller than the sum of its proper divisors (25259928).

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

11613672 is a wasteful number, since it uses less digits than its factorization.

11613672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703 (or 7693 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 11613672 is about 3407.8838008359. The cubic root of 11613672 is about 226.4591391578.

The spelling of 11613672 in words is "eleven million, six hundred thirteen thousand, six hundred seventy-two".