1678107312 has 180 divisors, whose sum is σ = 5518553040. Its totient is φ = 474598656.

The previous prime is 1678107289. The next prime is 1678107313. The reversal of 1678107312 is 2137018761.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1678107313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 725614 + ... + 727922.

It is an arithmetic number, because the mean of its divisors is an integer number (30658628).

Almost surely, 2^1678107312 is an apocalyptic number.

1678107312 is a gapful number since it is divisible by the number (12) 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 1678107312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759276520).

1678107312 is an abundant number, since it is smaller than the sum of its proper divisors (3840445728).

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

1678107312 is a wasteful number, since it uses less digits than its factorization.

1678107312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1678107312 is about 40964.7081278507. The cubic root of 1678107312 is about 1188.3377946342.

The spelling of 1678107312 in words is "one billion, six hundred seventy-eight million, one hundred seven thousand, three hundred twelve".