1928160 has 144 divisors (see below), whose sum is σ = 7154784. Its totient is φ = 470016.

The previous prime is 1928141. The next prime is 1928161. The reversal of 1928160 is 618291.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18669 + ... + 18771.

It is an arithmetic number, because the mean of its divisors is an integer number (49686).

2^1928160 is an apocalyptic number.

1928160 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 1928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392).

1928160 is an abundant number, since it is smaller than the sum of its proper divisors (5226624).

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

1928160 is a wasteful number, since it uses less digits than its factorization.

1928160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1928160 is about 1388.5820105417. The cubic root of 1928160 is about 124.4651278924.

The spelling of 1928160 in words is "one million, nine hundred twenty-eight thousand, one hundred sixty".