1631208960 has 240 divisors, whose sum is σ = 5724102384. Its totient is φ = 429244416.

The previous prime is 1631208959. The next prime is 1631208977. The reversal of 1631208960 is 698021361.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-5 number, since 5×1631208960⁵ (a number of 47 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911894 + ... + 1912746.

Almost surely, 2^1631208960 is an apocalyptic number.

1631208960 is a gapful number since it is divisible by the number (10) 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 1631208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862051192).

1631208960 is an abundant number, since it is smaller than the sum of its proper divisors (4092893424).

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

1631208960 is an equidigital number, since it uses as much as digits as its factorization.

1631208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1631208960 is about 40388.2279878680. The cubic root of 1631208960 is about 1177.1628093158.

The spelling of 1631208960 in words is "one billion, six hundred thirty-one million, two hundred eight thousand, nine hundred sixty".