633985248 has 144 divisors (see below), whose sum is σ = 1881532800. Its totient is φ = 186481152.

The previous prime is 633985237. The next prime is 633985277. The reversal of 633985248 is 842589336.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 633985197 and 633985206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372303 + ... + 374001.

It is an arithmetic number, because the mean of its divisors is an integer number (13066200).

Almost surely, 2^633985248 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 633985248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940766400).

633985248 is an abundant number, since it is smaller than the sum of its proper divisors (1247547552).

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

633985248 is a wasteful number, since it uses less digits than its factorization.

633985248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1740 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 633985248 is about 25179.0636839419. The cubic root of 633985248 is about 859.0657097250.

The spelling of 633985248 in words is "six hundred thirty-three million, nine hundred eighty-five thousand, two hundred forty-eight".