1631141160 has 128 divisors (see below), whose sum is σ = 5652374400. Its totient is φ = 372162560.

The previous prime is 1631141033. The next prime is 1631141173. The reversal of 1631141160 is 611411361.

It is a super-2 number, since 2×1631141160² = 5321242967692291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1631141160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13905 + ... + 58784.

It is an arithmetic number, because the mean of its divisors is an integer number (44159175).

Almost surely, 2^1631141160 is an apocalyptic number.

1631141160 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 1631141160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826187200).

1631141160 is an abundant number, since it is smaller than the sum of its proper divisors (4021233240).

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

1631141160 is a wasteful number, since it uses less digits than its factorization.

1631141160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72731 (or 72727 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1631141160 is about 40387.3886256589. The cubic root of 1631141160 is about 1177.1464997879.

The spelling of 1631141160 in words is "one billion, six hundred thirty-one million, one hundred forty-one thousand, one hundred sixty".