11672784 has 60 divisors (see below), whose sum is σ = 33026656. Its totient is φ = 3848256.

The previous prime is 11672767. The next prime is 11672789. The reversal of 11672784 is 48727611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11672789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14439 + ... + 15225.

Almost surely, 2^11672784 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 11672784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16513328).

11672784 is an abundant number, since it is smaller than the sum of its proper divisors (21353872).

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

11672784 is a wasteful number, since it uses less digits than its factorization.

11672784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 895 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11672784 is about 3416.5456238722. The cubic root of 11672784 is about 226.8427044620.

It can be divided in two parts, 116 and 72784, that added together give a square (72900 = 270²).

The spelling of 11672784 in words is "eleven million, six hundred seventy-two thousand, seven hundred eighty-four".