1164672 has 64 divisors (see below), whose sum is σ = 3447600. Its totient is φ = 387072.

The previous prime is 1164671. The next prime is 1164689. The reversal of 1164672 is 2764611.

1164672 is a `hidden beast` number, since 11 + 646 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3288 + ... + 3624.

2^1164672 is an apocalyptic number.

1164672 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 1164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723800).

1164672 is an abundant number, since it is smaller than the sum of its proper divisors (2282928).

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

1164672 is an equidigital number, since it uses as much as digits as its factorization.

1164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

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

The square root of 1164672 is about 1079.1997034840. The cubic root of 1164672 is about 105.2126303466.

The spelling of 1164672 in words is "one million, one hundred sixty-four thousand, six hundred seventy-two".