4612320 has 72 divisors (see below), whose sum is σ = 15744456. Its totient is φ = 1229568.

The previous prime is 4612319. The next prime is 4612339. The reversal of 4612320 is 232164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 4612293 and 4612302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 3041.

It is an arithmetic number, because the mean of its divisors is an integer number (218673).

Almost surely, 2^4612320 is an apocalyptic number.

4612320 is a gapful number since it is divisible by the number (40) 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 4612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872228).

4612320 is an abundant number, since it is smaller than the sum of its proper divisors (11132136).

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

4612320 is a wasteful number, since it uses less digits than its factorization.

4612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4612320 is about 2147.6312532649. The cubic root of 4612320 is about 166.4586916975.

Adding to 4612320 its reverse (232164), we get a palindrome (4844484).

The spelling of 4612320 in words is "four million, six hundred twelve thousand, three hundred twenty".