1532880 has 60 divisors (see below), whose sum is σ = 5150340. Its totient is φ = 408576.

The previous prime is 1532849. The next prime is 1532887. The reversal of 1532880 is 882351.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 1065024 = 684^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1532887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345 + ... + 1784.

It is an arithmetic number, because the mean of its divisors is an integer number (85839).

2^1532880 is an apocalyptic number.

1532880 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 1532880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575170).

1532880 is an abundant number, since it is smaller than the sum of its proper divisors (3617460).

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

1532880 is a wasteful number, since it uses less digits than its factorization.

1532880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1532880 is about 1238.0953113553. The cubic root of 1532880 is about 115.3017908181.

The spelling of 1532880 in words is "one million, five hundred thirty-two thousand, eight hundred eighty".