632344320 has 432 divisors, whose sum is σ = 2410611840. Its totient is φ = 158257152.

The previous prime is 632344249. The next prime is 632344327. The reversal of 632344320 is 23443236.

It is a happy number.

632344320 is a `hidden beast` number, since 632 + 3 + 4 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632344327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5909707 + ... + 5909813.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2^632344320 is an apocalyptic number.

632344320 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 632344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205305920).

632344320 is an abundant number, since it is smaller than the sum of its proper divisors (1778267520).

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

632344320 is a wasteful number, since it uses less digits than its factorization.

632344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 632344320 is about 25146.4574045729. The cubic root of 632344320 is about 858.3239033327.

Adding to 632344320 its reverse (23443236), we get a palindrome (655787556).

The spelling of 632344320 in words is "six hundred thirty-two million, three hundred forty-four thousand, three hundred twenty".