1768032 has 72 divisors (see below), whose sum is σ = 5752656. Its totient is φ = 504576.

The previous prime is 1768003. The next prime is 1768037. The reversal of 1768032 is 2308671.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1767987 and 1768005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1578 + ... + 2454.

It is an arithmetic number, because the mean of its divisors is an integer number (79898).

2^1768032 is an apocalyptic number.

1768032 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 1768032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876328).

1768032 is an abundant number, since it is smaller than the sum of its proper divisors (3984624).

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

1768032 is a wasteful number, since it uses less digits than its factorization.

1768032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1768032 is about 1329.6736441699. The cubic root of 1768032 is about 120.9196014415.

The spelling of 1768032 in words is "one million, seven hundred sixty-eight thousand, thirty-two".