1742336 has 40 divisors (see below), whose sum is σ = 3609144. Its totient is φ = 839680.

The previous prime is 1742309. The next prime is 1742339. The reversal of 1742336 is 6332471.

It is a d-powerful number, because it can be written as 1 + 7⁴ + 4⁵ + 2 + 3⁵ + 3¹⁰ + 6⁸ .

Its product of digits (3024) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20951 + ... + 21033.

2^1742336 is an apocalyptic number.

1742336 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 1742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804572).

1742336 is an abundant number, since it is smaller than the sum of its proper divisors (1866808).

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

1742336 is an frugal number, since it uses more digits than its factorization.

1742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its digits is 3024, while the sum is 26.

The square root of 1742336 is about 1319.9757573531. The cubic root of 1742336 is about 120.3309383446.

The spelling of 1742336 in words is "one million, seven hundred forty-two thousand, three hundred thirty-six".