1579968 has 84 divisors (see below), whose sum is σ = 4900168. Its totient is φ = 483840.

The previous prime is 1579951. The next prime is 1579969. The reversal of 1579968 is 8699751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1579969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7383 + ... + 7593.

2^1579968 is an apocalyptic number.

1579968 is a gapful number since it is divisible by the number (18) 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 1579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450084).

1579968 is an abundant number, since it is smaller than the sum of its proper divisors (3320200).

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

1579968 is a wasteful number, since it uses less digits than its factorization.

1579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1579968 is about 1256.9677800167. The cubic root of 1579968 is about 116.4705421415.

The spelling of 1579968 in words is "one million, five hundred seventy-nine thousand, nine hundred sixty-eight".