1611920 has 20 divisors (see below), whose sum is σ = 3747900. Its totient is φ = 644736.

The previous prime is 1611917. The next prime is 1611947. The reversal of 1611920 is 291161.

It can be written as a sum of positive squares in 2 ways, for example, as 659344 + 952576 = 812^2 + 976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1611892 and 1611901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9995 + ... + 10154.

It is an arithmetic number, because the mean of its divisors is an integer number (187395).

2^1611920 is an apocalyptic number.

1611920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1611920 is an abundant number, since it is smaller than the sum of its proper divisors (2135980).

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

1611920 is a wasteful number, since it uses less digits than its factorization.

1611920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20162 (or 20156 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 1611920 is about 1269.6141146033. The cubic root of 1611920 is about 117.2504436376.

The spelling of 1611920 in words is "one million, six hundred eleven thousand, nine hundred twenty".