681905952 has 480 divisors, whose sum is σ = 2561328000. Its totient is φ = 176795136.

The previous prime is 681905951. The next prime is 681905981. The reversal of 681905952 is 259509186.

It is a junction number, because it is equal to n+sod(n) for n = 681905898 and 681905907.

It is not an unprimeable number, because it can be changed into a prime (681905951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11557699 + ... + 11557757.

It is an arithmetic number, because the mean of its divisors is an integer number (5336100).

Almost surely, 2^681905952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681905952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280664000).

681905952 is an abundant number, since it is smaller than the sum of its proper divisors (1879422048).

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

681905952 is a wasteful number, since it uses less digits than its factorization.

681905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 681905952 is about 26113.3290102966. The cubic root of 681905952 is about 880.1867509991.

The spelling of 681905952 in words is "six hundred eighty-one million, nine hundred five thousand, nine hundred fifty-two".