681259020 has 192 divisors, whose sum is σ = 2204858880. Its totient is φ = 155676672.

The previous prime is 681259009. The next prime is 681259021. The reversal of 681259020 is 20952186.

It is a super-2 number, since 2×681259020² = 928227704662720800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (681259021) 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 63 ways as a sum of consecutive naturals, for example, 1100271 + ... + 1100889.

It is an arithmetic number, because the mean of its divisors is an integer number (11483640).

Almost surely, 2^681259020 is an apocalyptic number.

681259020 is a gapful number since it is divisible by the number (60) 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 681259020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102429440).

681259020 is an abundant number, since it is smaller than the sum of its proper divisors (1523599860).

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

681259020 is a wasteful number, since it uses less digits than its factorization.

681259020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 681259020 is about 26100.9390635663. The cubic root of 681259020 is about 879.9083151725.

The spelling of 681259020 in words is "six hundred eighty-one million, two hundred fifty-nine thousand, twenty".