1531488 has 96 divisors (see below), whose sum is σ = 4790016. Its totient is φ = 419328.

The previous prime is 1531487. The next prime is 1531499. The reversal of 1531488 is 8841351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531487) 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 15 ways as a sum of consecutive naturals, for example, 28870 + ... + 28922.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

2^1531488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1531488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008).

1531488 is an abundant number, since it is smaller than the sum of its proper divisors (3258528).

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

1531488 is a wasteful number, since it uses less digits than its factorization.

1531488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 1531488 is about 1237.5330298622. The cubic root of 1531488 is about 115.2668786048.

The spelling of 1531488 in words is "one million, five hundred thirty-one thousand, four hundred eighty-eight".