1668917250 has 768 divisors, whose sum is σ = 6577459200. Its totient is φ = 303264000.

The previous prime is 1668917249. The next prime is 1668917273. The reversal of 1668917250 is 527198661.

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

It is a junction number, because it is equal to n+sod(n) for n = 1668917196 and 1668917205.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 87837741 + ... + 87837759.

It is an arithmetic number, because the mean of its divisors is an integer number (8564400).

Almost surely, 2^1668917250 is an apocalyptic number.

1668917250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668917250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288729600).

1668917250 is an abundant number, since it is smaller than the sum of its proper divisors (4908541950).

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

1668917250 is a wasteful number, since it uses less digits than its factorization.

1668917250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1668917250 is about 40852.3836513856. The cubic root of 1668917250 is about 1186.1645337812.

The spelling of 1668917250 in words is "one billion, six hundred sixty-eight million, nine hundred seventeen thousand, two hundred fifty".