1608094620 has 480 divisors, whose sum is σ = 5901299712. Its totient is φ = 362880000.

The previous prime is 1608094601. The next prime is 1608094639. The reversal of 1608094620 is 264908061.

1608094620 is a `hidden beast` number, since 1 + 608 + 0 + 9 + 46 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1608094601) and next prime (1608094639).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22649185 + ... + 22649255.

Almost surely, 2^1608094620 is an apocalyptic number.

1608094620 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 1608094620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950649856).

1608094620 is an abundant number, since it is smaller than the sum of its proper divisors (4293205092).

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

1608094620 is a wasteful number, since it uses less digits than its factorization.

1608094620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1608094620 is about 40101.0550983387. The cubic root of 1608094620 is about 1171.5761794252.

The spelling of 1608094620 in words is "one billion, six hundred eight million, ninety-four thousand, six hundred twenty".