1609440 has 96 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 367104.

The previous prime is 1609423. The next prime is 1609457. The reversal of 1609440 is 449061.

1609440 = 126² + 127² + ... + 189².

It is an interprime number because it is at equal distance from previous prime (1609423) and next prime (1609457).

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

It is a super-2 number, since 2×1609440² = 5180594227200, which contains 22 as substring.

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 1609440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2^1609440 is an apocalyptic number.

1609440 is a gapful number since it is divisible by the number (10) 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 1609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

1609440 is an abundant number, since it is smaller than the sum of its proper divisors (4196640).

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

1609440 is a wasteful number, since it uses less digits than its factorization.

1609440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1609440 is about 1268.6370639391. The cubic root of 1609440 is about 117.1902813562.

The spelling of 1609440 in words is "one million, six hundred nine thousand, four hundred forty".