1505120 has 48 divisors (see below), whose sum is σ = 3719520. Its totient is φ = 574464.

The previous prime is 1505117. The next prime is 1505131. The reversal of 1505120 is 215051.

It is a junction number, because it is equal to n+sod(n) for n = 1505095 and 1505104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3476 + ... + 3884.

It is an arithmetic number, because the mean of its divisors is an integer number (77490).

2^1505120 is an apocalyptic number.

1505120 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 1505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859760).

1505120 is an abundant number, since it is smaller than the sum of its proper divisors (2214400).

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

1505120 is a wasteful number, since it uses less digits than its factorization.

1505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 1505120 is about 1226.8333220124. The cubic root of 1505120 is about 114.6015193908.

The spelling of 1505120 in words is "one million, five hundred five thousand, one hundred twenty".