1631263920 has 480 divisors, whose sum is σ = 6233976000. Its totient is φ = 350085120.

The previous prime is 1631263903. The next prime is 1631263957. The reversal of 1631263920 is 293621361.

It is a super-2 number, since 2×1631263920² = 5322043953387532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10948006 + ... + 10948154.

It is an arithmetic number, because the mean of its divisors is an integer number (12987450).

Almost surely, 2^1631263920 is an apocalyptic number.

1631263920 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 1631263920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116988000).

1631263920 is an abundant number, since it is smaller than the sum of its proper divisors (4602712080).

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

1631263920 is a wasteful number, since it uses less digits than its factorization.

1631263920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1631263920 is about 40388.9083784150. The cubic root of 1631263920 is about 1177.1760298050.

The spelling of 1631263920 in words is "one billion, six hundred thirty-one million, two hundred sixty-three thousand, nine hundred twenty".