681540900 has 144 divisors (see below), whose sum is σ = 2020704000. Its totient is φ = 177315840.

The previous prime is 681540799. The next prime is 681540913. The reversal of 681540900 is 9045186.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3531204 + ... + 3531396.

Almost surely, 2^681540900 is an apocalyptic number.

681540900 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 681540900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010352000).

681540900 is an abundant number, since it is smaller than the sum of its proper divisors (1339163100).

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

681540900 is a wasteful number, since it uses less digits than its factorization.

681540900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 431 counting only the distinct ones).

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

The square root of 681540900 is about 26106.3383108394. The cubic root of 681540900 is about 880.0296563697.

The spelling of 681540900 in words is "six hundred eighty-one million, five hundred forty thousand, nine hundred".