1749216 has 96 divisors (see below), whose sum is σ = 5564160. Its totient is φ = 470016.

The previous prime is 1749211. The next prime is 1749217. The reversal of 1749216 is 6129471.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1749216² = 6119513229312, which contains 22 as substring.

Its product of digits (3024) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1749211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12700 + ... + 12836.

It is an arithmetic number, because the mean of its divisors is an integer number (57960).

2^1749216 is an apocalyptic number.

1749216 is a gapful number since it is divisible by the number (16) 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 1749216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782080).

1749216 is an abundant number, since it is smaller than the sum of its proper divisors (3814944).

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

1749216 is a wasteful number, since it uses less digits than its factorization.

1749216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 1749216 is about 1322.5792981897. The cubic root of 1749216 is about 120.4891147918.

The spelling of 1749216 in words is "one million, seven hundred forty-nine thousand, two hundred sixteen".