1605252096 has 264 divisors, whose sum is σ = 5364777600. Its totient is φ = 452837376.

The previous prime is 1605252083. The next prime is 1605252139. The reversal of 1605252096 is 6902525061.

1605252096 is a `hidden beast` number, since 1 + 605 + 25 + 20 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1605252096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9612205 + ... + 9612371.

Almost surely, 2^1605252096 is an apocalyptic number.

1605252096 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 1605252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682388800).

1605252096 is an abundant number, since it is smaller than the sum of its proper divisors (3759525504).

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

1605252096 is a wasteful number, since it uses less digits than its factorization.

1605252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1605252096 is about 40065.5974122438. The cubic root of 1605252096 is about 1170.8854660165.

The spelling of 1605252096 in words is "one billion, six hundred five million, two hundred fifty-two thousand, ninety-six".