1631241680 has 40 divisors (see below), whose sum is σ = 3827452200. Its totient is φ = 646507008.

The previous prime is 1631241659. The next prime is 1631241683. The reversal of 1631241680 is 861421361.

It can be written as a sum of positive squares in 4 ways, for example, as 211760704 + 1419480976 = 14552^2 + 37676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631241683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84815 + ... + 102254.

It is an arithmetic number, because the mean of its divisors is an integer number (95686305).

Almost surely, 2^1631241680 is an apocalyptic number.

1631241680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1631241680 is an abundant number, since it is smaller than the sum of its proper divisors (2196210520).

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

1631241680 is a wasteful number, since it uses less digits than its factorization.

1631241680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187191 (or 187185 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1631241680 is about 40388.6330543632. The cubic root of 1631241680 is about 1177.1706800649.

The spelling of 1631241680 in words is "one billion, six hundred thirty-one million, two hundred forty-one thousand, six hundred eighty".