1512960 has 80 divisors (see below), whose sum is σ = 4861296. Its totient is φ = 401408.

The previous prime is 1512947. The next prime is 1512961. The reversal of 1512960 is 692151.

1512960 = 406² + 407² + ... + 414².

1512960 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1512960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1512961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7582 + ... + 7778.

2^1512960 is an apocalyptic number.

1512960 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 1512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430648).

1512960 is an abundant number, since it is smaller than the sum of its proper divisors (3348336).

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

1512960 is an equidigital number, since it uses as much as digits as its factorization.

1512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1512960 is about 1230.0243900021. The cubic root of 1512960 is about 114.8001570168.

The spelling of 1512960 in words is "one million, five hundred twelve thousand, nine hundred sixty".