1678251960 has 720 divisors, whose sum is σ = 7396618680. Its totient is φ = 337478400.

The previous prime is 1678251937. The next prime is 1678251961. The reversal of 1678251960 is 691528761.

1678251960 is a `hidden beast` number, since 1 + 6 + 78 + 2 + 519 + 60 = 666.

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 (1678251961) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 54137145 + ... + 54137175.

Almost surely, 2^1678251960 is an apocalyptic number.

1678251960 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 1678251960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698309340).

1678251960 is an abundant number, since it is smaller than the sum of its proper divisors (5718366720).

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

1678251960 is a wasteful number, since it uses less digits than its factorization.

1678251960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1678251960 is about 40966.4736095261. The cubic root of 1678251960 is about 1188.3719374142.

The spelling of 1678251960 in words is "one billion, six hundred seventy-eight million, two hundred fifty-one thousand, nine hundred sixty".