1536897726 has 384 divisors, whose sum is σ = 4696473600. Its totient is φ = 365316480.

The previous prime is 1536897721. The next prime is 1536897727. The reversal of 1536897726 is 6277986351.

1536897726 is a `hidden beast` number, since 1 + 536 + 89 + 7 + 7 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1536897721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26049085 + ... + 26049143.

It is an arithmetic number, because the mean of its divisors is an integer number (12230400).

Almost surely, 2^1536897726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1536897726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348236800).

1536897726 is an abundant number, since it is smaller than the sum of its proper divisors (3159575874).

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

1536897726 is a wasteful number, since it uses less digits than its factorization.

1536897726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 1536897726 is about 39203.2871836023. The cubic root of 1536897726 is about 1154.0243945756.

The spelling of 1536897726 in words is "one billion, five hundred thirty-six million, eight hundred ninety-seven thousand, seven hundred twenty-six".