1582080 has 88 divisors (see below), whose sum is σ = 5109312. Its totient is φ = 417792.

The previous prime is 1582079. The next prime is 1582081. The reversal of 1582080 is 802851.

It is an interprime number because it is at equal distance from previous prime (1582079) and next prime (1582081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1582080.

It is not an unprimeable number, because it can be changed into a prime (1582081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15309 + ... + 15411.

2^1582080 is an apocalyptic number.

1582080 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 1582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554656).

1582080 is an abundant number, since it is smaller than the sum of its proper divisors (3527232).

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

1582080 is a wasteful number, since it uses less digits than its factorization.

1582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1582080 is about 1257.8076164501. The cubic root of 1582080 is about 116.5224158209.

The spelling of 1582080 in words is "one million, five hundred eighty-two thousand, eighty".