1768615152 has 80 divisors (see below), whose sum is σ = 4891056000. Its totient is φ = 549027072.

The previous prime is 1768615129. The next prime is 1768615169. The reversal of 1768615152 is 2515168671.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37374 + ... + 70242.

It is an arithmetic number, because the mean of its divisors is an integer number (61138200).

Almost surely, 2^1768615152 is an apocalyptic number.

1768615152 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 1768615152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445528000).

1768615152 is an abundant number, since it is smaller than the sum of its proper divisors (3122440848).

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

1768615152 is a wasteful number, since it uses less digits than its factorization.

1768615152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32958 (or 32952 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 1768615152 is about 42054.9063962815. The cubic root of 1768615152 is about 1209.3289432988.

The spelling of 1768615152 in words is "one billion, seven hundred sixty-eight million, six hundred fifteen thousand, one hundred fifty-two".