1407162681 has 24 divisors (see below), whose sum is σ = 2084551560. Its totient is φ = 914169600.

The previous prime is 1407162677. The next prime is 1407162697. The reversal of 1407162681 is 1862617041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89472681 + 1317690000 = 9459^2 + 36300^2 .

It is not a de Polignac number, because 1407162681 - 2² = 1407162677 is a prime.

It is a super-2 number, since 2×1407162681² = 3960213621598215522, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1407167681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434175 + ... + 437403.

It is an arithmetic number, because the mean of its divisors is an integer number (86856315).

Almost surely, 2^1407162681 is an apocalyptic number.

It is an amenable number.

1407162681 is a deficient number, since it is larger than the sum of its proper divisors (677388879).

1407162681 is a wasteful number, since it uses less digits than its factorization.

1407162681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1407162681 is about 37512.1671061537. The cubic root of 1407162681 is about 1120.5935101022.

The spelling of 1407162681 in words is "one billion, four hundred seven million, one hundred sixty-two thousand, six hundred eighty-one".