1535604096 has 128 divisors (see below), whose sum is σ = 4534871040. Its totient is φ = 457205760.

The previous prime is 1535604071. The next prime is 1535604097. The reversal of 1535604096 is 6904065351.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1535604097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149791 + ... + 159713.

It is an arithmetic number, because the mean of its divisors is an integer number (35428680).

Almost surely, 2^1535604096 is an apocalyptic number.

1535604096 is a gapful number since it is divisible by the number (16) 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 1535604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267435520).

1535604096 is an abundant number, since it is smaller than the sum of its proper divisors (2999266944).

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

1535604096 is a wasteful number, since it uses less digits than its factorization.

1535604096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 1535604096 is about 39186.7847111753. The cubic root of 1535604096 is about 1153.7005171073.

The spelling of 1535604096 in words is "one billion, five hundred thirty-five million, six hundred four thousand, ninety-six".