1609416 has 32 divisors (see below), whose sum is σ = 4471200. Its totient is φ = 536400.

The previous prime is 1609403. The next prime is 1609417. The reversal of 1609416 is 6149061.

It is a super-2 number, since 2×1609416² = 5180439722112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1609416.

It is not an unprimeable number, because it can be changed into a prime (1609417) 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, 3510 + ... + 3941.

It is an arithmetic number, because the mean of its divisors is an integer number (139725).

2^1609416 is an apocalyptic number.

It is an amenable number.

1609416 is an abundant number, since it is smaller than the sum of its proper divisors (2861784).

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

1609416 is a wasteful number, since it uses less digits than its factorization.

1609416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1609416 is about 1268.6276049338. The cubic root of 1609416 is about 117.1896988387.

It can be divided in two parts, 16094 and 16, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 1609416 in words is "one million, six hundred nine thousand, four hundred sixteen".