1768536 has 144 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 443520.

The previous prime is 1768523. The next prime is 1768537. The reversal of 1768536 is 6358671.

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

Its product of digits (30240) is a multiple of the sum of its prime factors (70).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1768536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60970 + ... + 60998.

It is an arithmetic number, because the mean of its divisors is an integer number (43225).

2^1768536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1768536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112200).

1768536 is an abundant number, since it is smaller than the sum of its proper divisors (4455864).

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

1768536 is a wasteful number, since it uses less digits than its factorization.

1768536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 52 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1768536 is about 1329.8631508543. The cubic root of 1768536 is about 120.9310902398.

It can be divided in two parts, 1768 and 536, that added together give a square (2304 = 48²).

The spelling of 1768536 in words is "one million, seven hundred sixty-eight thousand, five hundred thirty-six".