1314632840 has 32 divisors (see below), whose sum is σ = 2960832960. Its totient is φ = 525336000.

The previous prime is 1314632801. The next prime is 1314632861. The reversal of 1314632840 is 482364131.

1314632840 = T₁₃₂₃₂ + T₁₃₂₃₃ + ... + T₁₃₂₄₆.

1314632840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1314632797 and 1314632806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26405 + ... + 57675.

It is an arithmetic number, because the mean of its divisors is an integer number (92526030).

Almost surely, 2^1314632840 is an apocalyptic number.

1314632840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314632840 is an abundant number, since it is smaller than the sum of its proper divisors (1646200120).

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

1314632840 is a wasteful number, since it uses less digits than its factorization.

1314632840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32333 (or 32329 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1314632840 is about 36257.8659052074. The cubic root of 1314632840 is about 1095.4725315429.

Adding to 1314632840 its reverse (482364131), we get a palindrome (1796996971).

The spelling of 1314632840 in words is "one billion, three hundred fourteen million, six hundred thirty-two thousand, eight hundred forty".