634848 has 48 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 198656.

The previous prime is 634841. The next prime is 634853. The reversal of 634848 is 848436.

It is a tau number, because it is divible by the number of its divisors (48).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634841) by changing a digit.

634848 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1438 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁶³⁴⁸⁴⁸ is an apocalyptic number.

634848 is a gapful number since it is divisible by the number (68) 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 634848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884520).

634848 is an abundant number, since it is smaller than the sum of its proper divisors (1134192).

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

634848 is a wasteful number, since it uses less digits than its factorization.

634848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 634848 is about 796.7734935350. The cubic root of 634848 is about 85.9455216534.

It can be divided in two parts, 6348 and 48, that multiplied together give a square (304704 = 552²).

The spelling of 634848 in words is "six hundred thirty-four thousand, eight hundred forty-eight".