1293631680 has 112 divisors (see below), whose sum is σ = 4480706304. Its totient is φ = 313605120.

The previous prime is 1293631657. The next prime is 1293631721. The reversal of 1293631680 is 861363921.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 50692 + ... + 71811.

Almost surely, 2^1293631680 is an apocalyptic number.

1293631680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1293631680 is an abundant number, since it is smaller than the sum of its proper divisors (3187074624).

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

1293631680 is a wasteful number, since it uses less digits than its factorization.

1293631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122534 (or 122524 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1293631680 is about 35967.0916255401. The cubic root of 1293631680 is about 1089.6078268201.

The spelling of 1293631680 in words is "one billion, two hundred ninety-three million, six hundred thirty-one thousand, six hundred eighty".