1588080 has 80 divisors (see below), whose sum is σ = 5312160. Its totient is φ = 390144.

The previous prime is 1588073. The next prime is 1588087. The reversal of 1588080 is 808851.

It is an interprime number because it is at equal distance from previous prime (1588073) and next prime (1588087).

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1588087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2866 + ... + 3374.

It is an arithmetic number, because the mean of its divisors is an integer number (66402).

2^1588080 is an apocalyptic number.

1588080 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 1588080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656080).

1588080 is an abundant number, since it is smaller than the sum of its proper divisors (3724080).

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

1588080 is a wasteful number, since it uses less digits than its factorization.

1588080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1588080 is about 1260.1904617954. The cubic root of 1588080 is about 116.6695328094.

The spelling of 1588080 in words is "one million, five hundred eighty-eight thousand, eighty".