1536640 has 80 divisors (see below), whose sum is σ = 4285530. Its totient is φ = 526848.

The previous prime is 1536631. The next prime is 1536641. The reversal of 1536640 is 466351.

It can be written as a sum of positive squares in only one way, i.e., 1382976 + 153664 = 1176^2 + 392^2 .

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

It is a super-2 number, since 2×1536640² = 4722524979200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1536641) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 219517 + ... + 219523.

2^1536640 is an apocalyptic number.

1536640 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 1536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142765).

1536640 is an abundant number, since it is smaller than the sum of its proper divisors (2748890).

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

1536640 is an frugal number, since it uses more digits than its factorization.

1536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1536640 is about 1239.6128427860. The cubic root of 1536640 is about 115.3959883946.

The spelling of 1536640 in words is "one million, five hundred thirty-six thousand, six hundred forty".