681878160 has 360 divisors, whose sum is σ = 2538754920. Its totient is φ = 163774464.

The previous prime is 681878159. The next prime is 681878173. The reversal of 681878160 is 61878186.

It can be written as a sum of positive squares in 12 ways, for example, as 146603664 + 535274496 = 12108^2 + 23136^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6034264 + ... + 6034376.

It is an arithmetic number, because the mean of its divisors is an integer number (7052097).

Almost surely, 2^681878160 is an apocalyptic number.

681878160 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 681878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269377460).

681878160 is an abundant number, since it is smaller than the sum of its proper divisors (1856876760).

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

681878160 is a wasteful number, since it uses less digits than its factorization.

681878160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 681878160 is about 26112.7968628410. The cubic root of 681878160 is about 880.1747931025.

The spelling of 681878160 in words is "six hundred eighty-one million, eight hundred seventy-eight thousand, one hundred sixty".