631436832 has 144 divisors (see below), whose sum is σ = 1946101248. Its totient is φ = 193052160.

The previous prime is 631436801. The next prime is 631436833. The reversal of 631436832 is 238634136.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (631436833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714663 + ... + 715545.

It is an arithmetic number, because the mean of its divisors is an integer number (13514592).

Almost surely, 2^631436832 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 631436832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973050624).

631436832 is an abundant number, since it is smaller than the sum of its proper divisors (1314664416).

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

631436832 is a wasteful number, since it uses less digits than its factorization.

631436832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 631436832 is about 25128.4068734968. The cubic root of 631436832 is about 857.9131083864.

The spelling of 631436832 in words is "six hundred thirty-one million, four hundred thirty-six thousand, eight hundred thirty-two".