1609920 has 168 divisors, whose sum is σ = 6102096. Its totient is φ = 387072.

The previous prime is 1609913. The next prime is 1609969. The reversal of 1609920 is 299061.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37419 + ... + 37461.

It is an arithmetic number, because the mean of its divisors is an integer number (36322).

2^1609920 is an apocalyptic number.

1609920 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 1609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051048).

1609920 is an abundant number, since it is smaller than the sum of its proper divisors (4492176).

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

1609920 is a wasteful number, since it uses less digits than its factorization.

1609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1609920 is about 1268.8262292371. The cubic root of 1609920 is about 117.2019304896.

The spelling of 1609920 in words is "one million, six hundred nine thousand, nine hundred twenty".