631434000 has 80 divisors (see below), whose sum is σ = 2035762560. Its totient is φ = 168380800.

The previous prime is 631433987. The next prime is 631434007. The reversal of 631434000 is 434136.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (631434007) 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 15 ways as a sum of consecutive naturals, for example, 46620 + ... + 58619.

It is an arithmetic number, because the mean of its divisors is an integer number (25447032).

Almost surely, 2^631434000 is an apocalyptic number.

631434000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

631434000 is an abundant number, since it is smaller than the sum of its proper divisors (1404328560).

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

631434000 is a wasteful number, since it uses less digits than its factorization.

631434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105265 (or 105249 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 631434000 is about 25128.3505228656. The cubic root of 631434000 is about 857.9118258018.

Adding to 631434000 its reverse (434136), we get a palindrome (631868136).

The spelling of 631434000 in words is "six hundred thirty-one million, four hundred thirty-four thousand".