1678351968 has 96 divisors (see below), whose sum is σ = 5027591520. Its totient is φ = 544320000.

The previous prime is 1678351949. The next prime is 1678351991. The reversal of 1678351968 is 8691538761.

1678351968 is a `hidden beast` number, since 1 + 67 + 8 + 3 + 519 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5718 + ... + 58218.

It is an arithmetic number, because the mean of its divisors is an integer number (52370745).

Almost surely, 2^1678351968 is an apocalyptic number.

1678351968 is a gapful number since it is divisible by the number (18) 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 1678351968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513795760).

1678351968 is an abundant number, since it is smaller than the sum of its proper divisors (3349239552).

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

1678351968 is a wasteful number, since it uses less digits than its factorization.

1678351968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52557 (or 52543 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 1678351968 is about 40967.6941992102. The cubic root of 1678351968 is about 1188.3955422012.

The spelling of 1678351968 in words is "one billion, six hundred seventy-eight million, three hundred fifty-one thousand, nine hundred sixty-eight".