1579920 has 80 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 404992.

The previous prime is 1579909. The next prime is 1579931. The reversal of 1579920 is 299751.

It is an interprime number because it is at equal distance from previous prime (1579909) and next prime (1579931).

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

It is a super-2 number, since 2×1579920² = 4992294412800, which contains 22 as substring.

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, 6847 + ... + 7073.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

2^1579920 is an apocalyptic number.

1579920 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 1579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

1579920 is an abundant number, since it is smaller than the sum of its proper divisors (3509040).

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

1579920 is a wasteful number, since it uses less digits than its factorization.

1579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 1579920 is about 1256.9486863035. The cubic root of 1579920 is about 116.4693626572.

The spelling of 1579920 in words is "one million, five hundred seventy-nine thousand, nine hundred twenty".