4663296 has 144 divisors (see below), whose sum is σ = 15331680. Its totient is φ = 1351680.

The previous prime is 4663289. The next prime is 4663297. The reversal of 4663296 is 6923664.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4663296.

It is not an unprimeable number, because it can be changed into a prime (4663297) 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, 202741 + ... + 202763.

It is an arithmetic number, because the mean of its divisors is an integer number (106470).

Almost surely, 2^4663296 is an apocalyptic number.

4663296 is a gapful number since it is divisible by the number (46) 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 4663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840).

4663296 is an abundant number, since it is smaller than the sum of its proper divisors (10668384).

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

4663296 is a wasteful number, since it uses less digits than its factorization.

4663296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 4663296 is about 2159.4666008068. The cubic root of 4663296 is about 167.0696877695.

The spelling of 4663296 in words is "four million, six hundred sixty-three thousand, two hundred ninety-six".