632248320 has 192 divisors, whose sum is σ = 2207761920. Its totient is φ = 153190400.

The previous prime is 632248303. The next prime is 632248321. The reversal of 632248320 is 23842236.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632248321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336985 + ... + 338855.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 2^632248320 is an apocalyptic number.

632248320 is a gapful number since it is divisible by the number (60) 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 632248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880960).

632248320 is an abundant number, since it is smaller than the sum of its proper divisors (1575513600).

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

632248320 is a wasteful number, since it uses less digits than its factorization.

632248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 632248320 is about 25144.5485145389. The cubic root of 632248320 is about 858.2804653605.

The spelling of 632248320 in words is "six hundred thirty-two million, two hundred forty-eight thousand, three hundred twenty".