1520960 has 84 divisors (see below), whose sum is σ = 4256532. Its totient is φ = 516096.

The previous prime is 1520947. The next prime is 1520971. The reversal of 1520960 is 690251.

1520960 = T₁₅ + T₁₆ + ... + T₂₀₈.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 906304 = 784^2 + 952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15632 + ... + 15728.

It is an arithmetic number, because the mean of its divisors is an integer number (50673).

2^1520960 is an apocalyptic number.

1520960 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 1520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128266).

1520960 is an abundant number, since it is smaller than the sum of its proper divisors (2735572).

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

1520960 is an equidigital number, since it uses as much as digits as its factorization.

1520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1520960 is about 1233.2720705505. The cubic root of 1520960 is about 115.0021423671.

The spelling of 1520960 in words is "one million, five hundred twenty thousand, nine hundred sixty".