681465407 has 16 divisors (see below), whose sum is σ = 788536320. Its totient is φ = 576856512.

The previous prime is 681465401. The next prime is 681465409. The reversal of 681465407 is 704564186.

It is a cyclic number.

It is not a de Polignac number, because 681465407 - 2⁴ = 681465391 is a prime.

It is a super-3 number, since 3×681465407³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681465401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315443 + ... + 317595.

It is an arithmetic number, because the mean of its divisors is an integer number (49283520).

Almost surely, 2^681465407 is an apocalyptic number.

681465407 is a deficient number, since it is larger than the sum of its proper divisors (107070913).

681465407 is a wasteful number, since it uses less digits than its factorization.

681465407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702.

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 681465407 is about 26104.8923958709. The cubic root of 681465407 is about 879.9971620948.

The spelling of 681465407 in words is "six hundred eighty-one million, four hundred sixty-five thousand, four hundred seven".