1741664 has 24 divisors (see below), whose sum is σ = 3523968. Its totient is φ = 846720.

The previous prime is 1741657. The next prime is 1741687. The reversal of 1741664 is 4661471.

It is a super-3 number, since 3×1741664³ = 15849456712333688832, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 449 + ... + 1919.

It is an arithmetic number, because the mean of its divisors is an integer number (146832).

2^1741664 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 1741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761984).

1741664 is an abundant number, since it is smaller than the sum of its proper divisors (1782304).

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

1741664 is a wasteful number, since it uses less digits than its factorization.

1741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1510 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 1741664 is about 1319.7211826746. The cubic root of 1741664 is about 120.3154662450.

The spelling of 1741664 in words is "one million, seven hundred forty-one thousand, six hundred sixty-four".