4632768 has 112 divisors (see below), whose sum is σ = 15605760. Its totient is φ = 1320192.

The previous prime is 4632757. The next prime is 4632781. The reversal of 4632768 is 8672364.

It is a tau number, because it is divible by the number of its divisors (112).

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11905 + ... + 12287.

Almost surely, 2^4632768 is an apocalyptic number.

4632768 is a gapful number since it is divisible by the number (48) 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 4632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802880).

4632768 is an abundant number, since it is smaller than the sum of its proper divisors (10972992).

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

4632768 is a wasteful number, since it uses less digits than its factorization.

4632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4632768 is about 2152.3865823778. The cubic root of 4632768 is about 166.7043186045.

The spelling of 4632768 in words is "four million, six hundred thirty-two thousand, seven hundred sixty-eight".