1678640112 has 240 divisors, whose sum is σ = 5228102880. Its totient is φ = 519561216.

The previous prime is 1678640107. The next prime is 1678640113. The reversal of 1678640112 is 2110468761.

It is a happy number.

1678640112 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 640 + 1 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678640113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7204348 + ... + 7204580.

It is an arithmetic number, because the mean of its divisors is an integer number (21783762).

Almost surely, 2^1678640112 is an apocalyptic number.

1678640112 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 1678640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614051440).

1678640112 is an abundant number, since it is smaller than the sum of its proper divisors (3549462768).

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

1678640112 is a wasteful number, since it uses less digits than its factorization.

1678640112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1678640112 is about 40971.2107704910. The cubic root of 1678640112 is about 1188.4635472953.

The spelling of 1678640112 in words is "one billion, six hundred seventy-eight million, six hundred forty thousand, one hundred twelve".