1559920 has 80 divisors (see below), whose sum is σ = 4071168. Its totient is φ = 552960.

The previous prime is 1559893. The next prime is 1559933. The reversal of 1559920 is 299551.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 42142 + ... + 42178.

2^1559920 is an apocalyptic number.

1559920 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 1559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035584).

1559920 is an abundant number, since it is smaller than the sum of its proper divisors (2511248).

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

1559920 is a wasteful number, since it uses less digits than its factorization.

1559920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 1559920 is about 1248.9675736383. The cubic root of 1559920 is about 115.9758173926.

It can be divided in two parts, 155 and 9920, that multiplied together give a square (1537600 = 1240²).

The spelling of 1559920 in words is "one million, five hundred fifty-nine thousand, nine hundred twenty".