1632261312 has 168 divisors, whose sum is σ = 5175290640. Its totient is φ = 487710720.

The previous prime is 1632261311. The next prime is 1632261343. The reversal of 1632261312 is 2131622361.

1632261312 is a `hidden beast` number, since 1 + 6 + 32 + 2 + 613 + 12 = 666.

It is a super-2 number, since 2×1632261312² = 5328553981303922688, which contains 22 as substring.

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 (1632261311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460764 + ... + 464292.

Almost surely, 2^1632261312 is an apocalyptic number.

1632261312 is a gapful number since it is divisible by the number (12) 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 1632261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587645320).

1632261312 is an abundant number, since it is smaller than the sum of its proper divisors (3543029328).

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

1632261312 is a wasteful number, since it uses less digits than its factorization.

1632261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3618 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1632261312 is about 40401.2538419292. The cubic root of 1632261312 is about 1177.4158983572.

Adding to 1632261312 its reverse (2131622361), we get a palindrome (3763883673).

The spelling of 1632261312 in words is "one billion, six hundred thirty-two million, two hundred sixty-one thousand, three hundred twelve".