1678681120 has 96 divisors (see below), whose sum is σ = 4093912368. Its totient is φ = 649986048.

The previous prime is 1678681111. The next prime is 1678681129. The reversal of 1678681120 is 211868761.

It is an interprime number because it is at equal distance from previous prime (1678681111) and next prime (1678681129).

It can be written as a sum of positive squares in 8 ways, for example, as 695482384 + 983198736 = 26372^2 + 31356^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1678681129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378752 + ... + 1379968.

Almost surely, 2^1678681120 is an apocalyptic number.

1678681120 is a gapful number since it is divisible by the number (10) 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 1678681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046956184).

1678681120 is an abundant number, since it is smaller than the sum of its proper divisors (2415231248).

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

1678681120 is a wasteful number, since it uses less digits than its factorization.

1678681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 1678681120 is about 40971.7112163991. The cubic root of 1678681120 is about 1188.4732249934.

The spelling of 1678681120 in words is "one billion, six hundred seventy-eight million, six hundred eighty-one thousand, one hundred twenty".