11463672 has 64 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 3440000.

The previous prime is 11463667. The next prime is 11463709. The reversal of 11463672 is 27636411.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 45547 + ... + 45797.

It is an arithmetic number, because the mean of its divisors is an integer number (493290).

Almost surely, 2^11463672 is an apocalyptic number.

11463672 is a gapful number since it is divisible by the number (12) 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 11463672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785280).

11463672 is an abundant number, since it is smaller than the sum of its proper divisors (20106888).

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

11463672 is a wasteful number, since it uses less digits than its factorization.

11463672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 11463672 is about 3385.8044834278. The cubic root of 11463672 is about 225.4799434147.

The spelling of 11463672 in words is "eleven million, four hundred sixty-three thousand, six hundred seventy-two".