631890000 has 600 divisors, whose sum is σ = 2719379520. Its totient is φ = 133632000.

The previous prime is 631889981. The next prime is 631890001. The reversal of 631890000 is 98136.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631890001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10709971 + ... + 10710029.

Almost surely, 2^631890000 is an apocalyptic number.

631890000 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 631890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359689760).

631890000 is an abundant number, since it is smaller than the sum of its proper divisors (2087489520).

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

631890000 is a wasteful number, since it uses less digits than its factorization.

631890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 631890000 is about 25137.4223022171. The cubic root of 631890000 is about 858.1182942836.

The spelling of 631890000 in words is "six hundred thirty-one million, eight hundred ninety thousand".