1631766312 has 144 divisors (see below), whose sum is σ = 4892689620. Its totient is φ = 490913280.

The previous prime is 1631766271. The next prime is 1631766319. The reversal of 1631766312 is 2136671361.

1631766312 is a `hidden beast` number, since 1 + 6 + 3 + 17 + 6 + 631 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1615557636 + 16208676 = 40194^2 + 4026^2 .

It is a super-2 number, since 2×1631766312² = 5325322593956162688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1631766319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1367188 + ... + 1368380.

Almost surely, 2^1631766312 is an apocalyptic number.

1631766312 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 1631766312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446344810).

1631766312 is an abundant number, since it is smaller than the sum of its proper divisors (3260923308).

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

1631766312 is a wasteful number, since it uses less digits than its factorization.

1631766312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1366 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 1631766312 is about 40395.1273299144. The cubic root of 1631766312 is about 1177.2968651708.

The spelling of 1631766312 in words is "one billion, six hundred thirty-one million, seven hundred sixty-six thousand, three hundred twelve".