11046672 has 160 divisors (see below), whose sum is σ = 39164160. Its totient is φ = 2903040.

The previous prime is 11046667. The next prime is 11046691. The reversal of 11046672 is 27664011.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39172 + ... + 39452.

It is an arithmetic number, because the mean of its divisors is an integer number (244776).

Almost surely, 2^11046672 is an apocalyptic number.

11046672 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 11046672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19582080).

11046672 is an abundant number, since it is smaller than the sum of its proper divisors (28117488).

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

11046672 is a wasteful number, since it uses less digits than its factorization.

11046672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11046672 is about 3323.6534115338. The cubic root of 11046672 is about 222.7121034284.

It can be divided in two parts, 1104 and 6672, that added together give a 5-th power (7776 = 6⁵).

The spelling of 11046672 in words is "eleven million, forty-six thousand, six hundred seventy-two".