1605250368 has 168 divisors, whose sum is σ = 4767123816. Its totient is φ = 516096000.

The previous prime is 1605250337. The next prime is 1605250391. The reversal of 1605250368 is 8630525061.

1605250368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 154554624 + 1450695744 = 12432^2 + 38088^2 .

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

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, 2384880 + ... + 2385552.

It is an arithmetic number, because the mean of its divisors is an integer number (28375737).

Almost surely, 2^1605250368 is an apocalyptic number.

1605250368 is a gapful number since it is divisible by the number (18) 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 1605250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383561908).

1605250368 is an abundant number, since it is smaller than the sum of its proper divisors (3161873448).

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

1605250368 is a wasteful number, since it uses less digits than its factorization.

1605250368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1605250368 is about 40065.5758476026. The cubic root of 1605250368 is about 1170.8850458767.

The spelling of 1605250368 in words is "one billion, six hundred five million, two hundred fifty thousand, three hundred sixty-eight".