4611312 has 60 divisors (see below), whose sum is σ = 13334464. Its totient is φ = 1486080.

The previous prime is 4611307. The next prime is 4611323. The reversal of 4611312 is 2131164.

It is a happy number.

It is a super-2 number, since 2×4611312² = 42528396722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3948 + ... + 4980.

Almost surely, 2^4611312 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 4611312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667232).

4611312 is an abundant number, since it is smaller than the sum of its proper divisors (8723152).

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

4611312 is a wasteful number, since it uses less digits than its factorization.

4611312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1069 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4611312 is about 2147.3965632831. The cubic root of 4611312 is about 166.4465645695.

4611312 divided by its product of digits (144) gives a palindrome (32023).

Adding to 4611312 its reverse (2131164), we get a palindrome (6742476).

The spelling of 4611312 in words is "four million, six hundred eleven thousand, three hundred twelve".