1505970 has 48 divisors (see below), whose sum is σ = 4057560. Its totient is φ = 387072.

The previous prime is 1505953. The next prime is 1505983. The reversal of 1505970 is 795051.

It can be written as a sum of positive squares in 4 ways, for example, as 1490841 + 15129 = 1221^2 + 123^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2322 + ... + 2898.

2^1505970 is an apocalyptic number.

1505970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028780).

1505970 is an abundant number, since it is smaller than the sum of its proper divisors (2551590).

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

1505970 is a wasteful number, since it uses less digits than its factorization.

1505970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 1505970 is about 1227.1796934435. The cubic root of 1505970 is about 114.6230886477.

It can be divided in two parts, 15059 and 70, that added together give a square (15129 = 123²).

The spelling of 1505970 in words is "one million, five hundred five thousand, nine hundred seventy".