1602561024 has 165 divisors, whose sum is σ = 4820236707. Its totient is φ = 530343936.

The previous prime is 1602561019. The next prime is 1602561029. The reversal of 1602561024 is 4201652061.

The square root of 1602561024 is 40032.

It is a perfect power (a square), and thus also a powerful number.

1602561024 is a `hidden beast` number, since 1 + 6 + 0 + 25 + 610 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1602561019) and next prime (1602561029).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1602561029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11529147 + ... + 11529285.

Almost surely, 2^1602561024 is an apocalyptic number.

1602561024 is the 40032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1602561024

1602561024 is an abundant number, since it is smaller than the sum of its proper divisors (3217675683).

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

1602561024 is an frugal number, since it uses more digits than its factorization.

1602561024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 1602561024 is about 1170.2308025935.

The spelling of 1602561024 in words is "one billion, six hundred two million, five hundred sixty-one thousand, twenty-four".