1687086401 has 32 divisors (see below), whose sum is σ = 2269618176. Its totient is φ = 1211112000.

The previous prime is 1687086343. The next prime is 1687086461. The reversal of 1687086401 is 1046807861.

It is not a de Polignac number, because 1687086401 - 2¹⁰ = 1687085377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1687086461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630296 + ... + 632966.

It is an arithmetic number, because the mean of its divisors is an integer number (70925568).

Almost surely, 2^1687086401 is an apocalyptic number.

1687086401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1687086401 is a deficient number, since it is larger than the sum of its proper divisors (582531775).

1687086401 is a wasteful number, since it uses less digits than its factorization.

1687086401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333.

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 1687086401 is about 41074.1573376740. The cubic root of 1687086401 is about 1190.4535147341.

The spelling of 1687086401 in words is "one billion, six hundred eighty-seven million, eighty-six thousand, four hundred one".