1604556800 has 432 divisors, whose sum is σ = 5132640240. Its totient is φ = 486604800.

The previous prime is 1604556787. The next prime is 1604556817. The reversal of 1604556800 is 86554061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43366382 + ... + 43366418.

Almost surely, 2^1604556800 is an apocalyptic number.

1604556800 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 1604556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566320120).

1604556800 is an abundant number, since it is smaller than the sum of its proper divisors (3528083440).

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

1604556800 is a wasteful number, since it uses less digits than its factorization.

1604556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 1604556800 is about 40056.9195021285. The cubic root of 1604556800 is about 1170.7163898628.

The spelling of 1604556800 in words is "one billion, six hundred four million, five hundred fifty-six thousand, eight hundred".