1536960 has 56 divisors (see below), whose sum is σ = 4882896. Its totient is φ = 409600.

The previous prime is 1536959. The next prime is 1536961. The reversal of 1536960 is 696351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1536959) and next prime (1536961).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1536961) 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 7 ways as a sum of consecutive naturals, for example, 160 + ... + 1760.

2^1536960 is an apocalyptic number.

1536960 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 1536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441448).

1536960 is an abundant number, since it is smaller than the sum of its proper divisors (3345936).

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

1536960 is a wasteful number, since it uses less digits than its factorization.

1536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1536960 is about 1239.7419086245. The cubic root of 1536960 is about 115.4039981114.

The spelling of 1536960 in words is "one million, five hundred thirty-six thousand, nine hundred sixty".