1676947968 has 320 divisors, whose sum is σ = 5303232000. Its totient is φ = 522289152.

The previous prime is 1676947967. The next prime is 1676947981. The reversal of 1676947968 is 8697496761.

Its product of digits (27433728) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (1676947967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18842068 + ... + 18842156.

It is an arithmetic number, because the mean of its divisors is an integer number (16572600).

Almost surely, 2^1676947968 is an apocalyptic number.

1676947968 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 1676947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651616000).

1676947968 is an abundant number, since it is smaller than the sum of its proper divisors (3626284032).

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

1676947968 is an equidigital number, since it uses as much as digits as its factorization.

1676947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 1676947968 is about 40950.5551610720. Note that the first 3 decimals coincide. The cubic root of 1676947968 is about 1188.0640716388.

It can be divided in two parts, 16 and 76947968, that added together give a square (76947984 = 8772²).

The spelling of 1676947968 in words is "one billion, six hundred seventy-six million, nine hundred forty-seven thousand, nine hundred sixty-eight".