1604733600 has 144 divisors (see below), whose sum is σ = 5392154880. Its totient is φ = 414105600.

The previous prime is 1604733593. The next prime is 1604733607. The reversal of 1604733600 is 63374061.

It is an interprime number because it is at equal distance from previous prime (1604733593) and next prime (1604733607).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1604733607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63616 + ... + 85184.

It is an arithmetic number, because the mean of its divisors is an integer number (37445520).

Almost surely, 2^1604733600 is an apocalyptic number.

1604733600 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 1604733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696077440).

1604733600 is an abundant number, since it is smaller than the sum of its proper divisors (3787421280).

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

1604733600 is a wasteful number, since it uses less digits than its factorization.

1604733600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21623 (or 21610 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 1604733600 is about 40059.1263010066. The cubic root of 1604733600 is about 1170.7593872097.

The spelling of 1604733600 in words is "one billion, six hundred four million, seven hundred thirty-three thousand, six hundred".