4675632 has 80 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 1403136.

The previous prime is 4675631. The next prime is 4675633. The reversal of 4675632 is 2365764.

It is an interprime number because it is at equal distance from previous prime (4675631) and next prime (4675633).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (30240) is a multiple of the sum of its prime factors (210).

It is a junction number, because it is equal to n+sod(n) for n = 4675593 and 4675602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4675631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36753 + ... + 36879.

It is an arithmetic number, because the mean of its divisors is an integer number (166656).

Almost surely, 2^4675632 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 4675632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).

4675632 is an abundant number, since it is smaller than the sum of its proper divisors (8656848).

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

4675632 is a wasteful number, since it uses less digits than its factorization.

4675632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

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

The square root of 4675632 is about 2162.3209752486. The cubic root of 4675632 is about 167.2168767257.

The spelling of 4675632 in words is "four million, six hundred seventy-five thousand, six hundred thirty-two".