1604689920 has 224 divisors, whose sum is σ = 5709147840. Its totient is φ = 427622400.

The previous prime is 1604689913. The next prime is 1604689927. The reversal of 1604689920 is 299864061.

It is a happy number.

1604689920 is a `hidden beast` number, since 160 + 468 + 9 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1604689913) and next prime (1604689927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604689927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105195 + ... + 1106645.

Almost surely, 2^1604689920 is an apocalyptic number.

1604689920 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 1604689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854573920).

1604689920 is an abundant number, since it is smaller than the sum of its proper divisors (4104457920).

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

1604689920 is an equidigital number, since it uses as much as digits as its factorization.

1604689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1604689920 is about 40058.5811031794. The cubic root of 1604689920 is about 1170.7487646295.

The spelling of 1604689920 in words is "one billion, six hundred four million, six hundred eighty-nine thousand, nine hundred twenty".