634788 has 72 divisors (see below), whose sum is σ = 2009280. Its totient is φ = 164160.

The previous prime is 634759. The next prime is 634793. The reversal of 634788 is 887436.

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

Its product of digits (32256) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2658 + ... + 2886.

2⁶³⁴⁷⁸⁸ 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 634788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004640).

634788 is an abundant number, since it is smaller than the sum of its proper divisors (1374492).

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

634788 is a wasteful number, since it uses less digits than its factorization.

634788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 634788 is about 796.7358407904. The cubic root of 634788 is about 85.9428139744.

It can be divided in two parts, 63 and 4788, that added together give a triangular number (4851 = T₉₈).

The spelling of 634788 in words is "six hundred thirty-four thousand, seven hundred eighty-eight".