1531020 has 96 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 359424.

The previous prime is 1530967. The next prime is 1531021. The reversal of 1531020 is 201351.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1530987 and 1531005.

It is not an unprimeable number, because it can be changed into a prime (1531021) 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 31 ways as a sum of consecutive naturals, for example, 19341 + ... + 19419.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2^1531020 is an apocalyptic number.

1531020 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 1531020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

1531020 is an abundant number, since it is smaller than the sum of its proper divisors (3307380).

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

1531020 is a wasteful number, since it uses less digits than its factorization.

1531020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1531020 is about 1237.3439295523. The cubic root of 1531020 is about 115.2551361263.

Adding to 1531020 its reverse (201351), we get a palindrome (1732371).

The spelling of 1531020 in words is "one million, five hundred thirty-one thousand, twenty".