1536979920 has 320 divisors, whose sum is σ = 5785344000. Its totient is φ = 329730048.

The previous prime is 1536979909. The next prime is 1536979931. The reversal of 1536979920 is 299796351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1536979909) and next prime (1536979931).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5713546 + ... + 5713814.

It is an arithmetic number, because the mean of its divisors is an integer number (18079200).

Almost surely, 2^1536979920 is an apocalyptic number.

1536979920 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 1536979920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892672000).

1536979920 is an abundant number, since it is smaller than the sum of its proper divisors (4248364080).

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

1536979920 is a wasteful number, since it uses less digits than its factorization.

1536979920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The square root of 1536979920 is about 39204.3354745365. The cubic root of 1536979920 is about 1154.0449667946.

The spelling of 1536979920 in words is "one billion, five hundred thirty-six million, nine hundred seventy-nine thousand, nine hundred twenty".