681617832 has 128 divisors (see below), whose sum is σ = 2052096000. Its totient is φ = 188395200.

The previous prime is 681617831. The next prime is 681617861. The reversal of 681617832 is 238716186.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (681617831) 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 31 ways as a sum of consecutive naturals, for example, 253857 + ... + 256527.

It is an arithmetic number, because the mean of its divisors is an integer number (16032000).

Almost surely, 2^681617832 is an apocalyptic number.

681617832 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681617832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026048000).

681617832 is an abundant number, since it is smaller than the sum of its proper divisors (1370478168).

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

681617832 is a wasteful number, since it uses less digits than its factorization.

681617832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2714 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 681617832 is about 26107.8117045454. The cubic root of 681617832 is about 880.0627675615.

The spelling of 681617832 in words is "six hundred eighty-one million, six hundred seventeen thousand, eight hundred thirty-two".