1768213152 has 120 divisors (see below), whose sum is σ = 5247154836. Its totient is φ = 584091648.

The previous prime is 1768213141. The next prime is 1768213177. The reversal of 1768213152 is 2513128671.

It can be written as a sum of positive squares in 2 ways, for example, as 1377597456 + 390615696 = 37116^2 + 19764^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 289878 + ... + 295914.

Almost surely, 2^1768213152 is an apocalyptic number.

1768213152 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 1768213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623577418).

1768213152 is an abundant number, since it is smaller than the sum of its proper divisors (3478941684).

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

1768213152 is a wasteful number, since it uses less digits than its factorization.

1768213152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6155 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1768213152 is about 42050.1266585488. The cubic root of 1768213152 is about 1209.2373109515.

The spelling of 1768213152 in words is "one billion, seven hundred sixty-eight million, two hundred thirteen thousand, one hundred fifty-two".