632553248 has 48 divisors (see below), whose sum is σ = 1283796864. Its totient is φ = 306608640.

The previous prime is 632553241. The next prime is 632553253. The reversal of 632553248 is 842355236.

It is a happy number.

It is a super-2 number, since 2×632553248² = 800247223110699008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (632553241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217661 + ... + 220547.

It is an arithmetic number, because the mean of its divisors is an integer number (26745768).

Almost surely, 2^632553248 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 632553248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641898432).

632553248 is an abundant number, since it is smaller than the sum of its proper divisors (651243616).

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

632553248 is a wasteful number, since it uses less digits than its factorization.

632553248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3097 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 632553248 is about 25150.6112848177. The cubic root of 632553248 is about 858.4184236461.

The spelling of 632553248 in words is "six hundred thirty-two million, five hundred fifty-three thousand, two hundred forty-eight".