1742688 has 48 divisors (see below), whose sum is σ = 5085360. Its totient is φ = 580608.

The previous prime is 1742681. The next prime is 1742701. The reversal of 1742688 is 8862471.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1742688² = 6073922930688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 1872.

It is an arithmetic number, because the mean of its divisors is an integer number (105945).

2^1742688 is an apocalyptic number.

1742688 is a gapful number since it is divisible by the number (18) 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 1742688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542680).

1742688 is an abundant number, since it is smaller than the sum of its proper divisors (3342672).

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

1742688 is a wasteful number, since it uses less digits than its factorization.

1742688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2022 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1742688 is about 1320.1090864016. The cubic root of 1742688 is about 120.3390411901.

The spelling of 1742688 in words is "one million, seven hundred forty-two thousand, six hundred eighty-eight".