1605604000 has 384 divisors, whose sum is σ = 5309950464. Its totient is φ = 460800000.

The previous prime is 1605603991. The next prime is 1605604009. The reversal of 1605604000 is 4065061.

It is an interprime number because it is at equal distance from previous prime (1605603991) and next prime (1605604009).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1605604009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003800 + ... + 4004200.

It is an arithmetic number, because the mean of its divisors is an integer number (13827996).

Almost surely, 2^1605604000 is an apocalyptic number.

1605604000 is a gapful number since it is divisible by the number (10) 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 1605604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654975232).

1605604000 is an abundant number, since it is smaller than the sum of its proper divisors (3704346464).

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

1605604000 is a wasteful number, since it uses less digits than its factorization.

1605604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1605604000 is about 40069.9887696515. The cubic root of 1605604000 is about 1170.9710204235.

Adding to 1605604000 its reverse (4065061), we get a palindrome (1609669061).

The spelling of 1605604000 in words is "one billion, six hundred five million, six hundred four thousand".