1605521952 has 192 divisors, whose sum is σ = 4882187520. Its totient is φ = 512870400.

The previous prime is 1605521893. The next prime is 1605521971. The reversal of 1605521952 is 2591255061.

1605521952 is a `hidden beast` number, since 16 + 0 + 552 + 1 + 95 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2160493 + ... + 2161235.

It is an arithmetic number, because the mean of its divisors is an integer number (25428060).

Almost surely, 2^1605521952 is an apocalyptic number.

1605521952 is a gapful number since it is divisible by the number (12) 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 1605521952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441093760).

1605521952 is an abundant number, since it is smaller than the sum of its proper divisors (3276665568).

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

1605521952 is a wasteful number, since it uses less digits than its factorization.

1605521952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1605521952 is about 40068.9649479494. The cubic root of 1605521952 is about 1170.9510741464.

The spelling of 1605521952 in words is "one billion, six hundred five million, five hundred twenty-one thousand, nine hundred fifty-two".