634632 has 32 divisors (see below), whose sum is σ = 1639680. Its totient is φ = 204480.

The previous prime is 634609. The next prime is 634643. The reversal of 634632 is 236436.

634632 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 6 + 3⁶ + 6⁷ + 4⁹ + 3¹⁰ + 2¹⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (51240).

2⁶³⁴⁶³² is an apocalyptic number.

634632 is a gapful number since it is divisible by the number (62) 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 634632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819840).

634632 is an abundant number, since it is smaller than the sum of its proper divisors (1005048).

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

634632 is a wasteful number, since it uses less digits than its factorization.

634632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 889 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 634632 is about 796.6379353257. The cubic root of 634632 is about 85.9357732105.

The spelling of 634632 in words is "six hundred thirty-four thousand, six hundred thirty-two".