1681248960 has 196 divisors, whose sum is σ = 6003298128. Its totient is φ = 448270848.

The previous prime is 1681248859. The next prime is 1681248979. The reversal of 1681248960 is 698421861.

1681248960 is a `hidden beast` number, since 168 + 1 + 2 + 489 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 229677 + ... + 236883.

Almost surely, 2^1681248960 is an apocalyptic number.

1681248960 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 1681248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001649064).

1681248960 is an abundant number, since it is smaller than the sum of its proper divisors (4322049168).

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

1681248960 is an frugal number, since it uses more digits than its factorization.

1681248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1681248960 is about 41003.0359851560. The cubic root of 1681248960 is about 1189.0789096738.

The spelling of 1681248960 in words is "one billion, six hundred eighty-one million, two hundred forty-eight thousand, nine hundred sixty".