1724640 has 48 divisors (see below), whose sum is σ = 5434128. Its totient is φ = 459776.

The previous prime is 1724627. The next prime is 1724641. The reversal of 1724640 is 464271.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1724640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1724641) 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, 1317 + ... + 2276.

It is an arithmetic number, because the mean of its divisors is an integer number (113211).

2^1724640 is an apocalyptic number.

1724640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1724640 is an abundant number, since it is smaller than the sum of its proper divisors (3709488).

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

1724640 is a wasteful number, since it uses less digits than its factorization.

1724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1724640 is about 1313.2554968474. The cubic root of 1724640 is about 119.9221717562.

Subtracting from 1724640 its product of nonzero digits (1344), we obtain a triangular number (1723296 = T₁₈₅₆).

The spelling of 1724640 in words is "one million, seven hundred twenty-four thousand, six hundred forty".