1678718160 has 240 divisors, whose sum is σ = 6522332544. Its totient is φ = 378989568.

The previous prime is 1678718143. The next prime is 1678718161. The reversal of 1678718160 is 618178761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678718161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416314 + ... + 420326.

Almost surely, 2^1678718160 is an apocalyptic number.

1678718160 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 1678718160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261166272).

1678718160 is an abundant number, since it is smaller than the sum of its proper divisors (4843614384).

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

1678718160 is a wasteful number, since it uses less digits than its factorization.

1678718160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 1678718160 is about 40972.1632331025. The cubic root of 1678718160 is about 1188.4819661263.

The spelling of 1678718160 in words is "one billion, six hundred seventy-eight million, seven hundred eighteen thousand, one hundred sixty".