1609152000 has 480 divisors, whose sum is σ = 5879221920. Its totient is φ = 389939200.

The previous prime is 1609151923. The next prime is 1609152007. The reversal of 1609152000 is 2519061.

1609152000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609152007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55487986 + ... + 55488014.

It is an arithmetic number, because the mean of its divisors is an integer number (12248379).

Almost surely, 2^1609152000 is an apocalyptic number.

1609152000 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 1609152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939610960).

1609152000 is an abundant number, since it is smaller than the sum of its proper divisors (4270069920).

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

1609152000 is an equidigital number, since it uses as much as digits as its factorization.

1609152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1609152000 is about 40114.2368742071. The cubic root of 1609152000 is about 1171.8329076437.

The spelling of 1609152000 in words is "one billion, six hundred nine million, one hundred fifty-two thousand".