1749006 has 48 divisors (see below), whose sum is σ = 4528080. Its totient is φ = 498960.

The previous prime is 1749001. The next prime is 1749023. The reversal of 1749006 is 6009471.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1749001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2316 + ... + 2976.

It is an arithmetic number, because the mean of its divisors is an integer number (94335).

2^1749006 is an apocalyptic number.

It is a pronic number, being equal to 1322×1323.

It is a practical number, because each smaller number is the sum of distinct divisors of 1749006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264040).

1749006 is an abundant number, since it is smaller than the sum of its proper divisors (2779074).

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

1749006 is a wasteful number, since it uses less digits than its factorization.

1749006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1749006 is about 1322.4999054820. The cubic root of 1749006 is about 120.4842928741.

It can be divided in two parts, 174 and 9006, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 1749006 in words is "one million, seven hundred forty-nine thousand, six".