681461406 has 48 divisors (see below), whose sum is σ = 1531071360. Its totient is φ = 218825280.

The previous prime is 681461383. The next prime is 681461477. The reversal of 681461406 is 604164186.

681461406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×681461406³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125116 + ... + 130448.

It is an arithmetic number, because the mean of its divisors is an integer number (31897320).

Almost surely, 2^681461406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681461406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765535680).

681461406 is an abundant number, since it is smaller than the sum of its proper divisors (849609954).

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

681461406 is a wasteful number, since it uses less digits than its factorization.

681461406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 681461406 is about 26104.8157626136. The cubic root of 681461406 is about 879.9954398868.

The spelling of 681461406 in words is "six hundred eighty-one million, four hundred sixty-one thousand, four hundred six".