1604632000 has 56 divisors (see below), whose sum is σ = 3973890960. Its totient is φ = 641849600.

The previous prime is 1604631943. The next prime is 1604632019. The reversal of 1604632000 is 2364061.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92290 + ... + 108289.

Almost surely, 2^1604632000 is an apocalyptic number.

1604632000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1604632000 is an abundant number, since it is smaller than the sum of its proper divisors (2369258960).

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

1604632000 is an equidigital number, since it uses as much as digits as its factorization.

1604632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200606 (or 200586 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1604632000 is about 40057.8581554231. The cubic root of 1604632000 is about 1170.7346787131.

Adding to 1604632000 its reverse (2364061), we get a palindrome (1606996061).

The spelling of 1604632000 in words is "one billion, six hundred four million, six hundred thirty-two thousand".