4632576 has 104 divisors (see below), whose sum is σ = 13760880. Its totient is φ = 1376256.

The previous prime is 4632527. The next prime is 4632577. The reversal of 4632576 is 6752364.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159730 + ... + 159758.

Almost surely, 2^4632576 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 4632576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880440).

4632576 is an abundant number, since it is smaller than the sum of its proper divisors (9128304).

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

4632576 is a wasteful number, since it uses less digits than its factorization.

4632576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 4632576 is about 2152.3419802624. The cubic root of 4632576 is about 166.7020156133.

The spelling of 4632576 in words is "four million, six hundred thirty-two thousand, five hundred seventy-six".