1604616640 has 112 divisors (see below), whose sum is σ = 4180783104. Its totient is φ = 581760000.

The previous prime is 1604616623. The next prime is 1604616641. The reversal of 1604616640 is 466164061.

It is a super-2 number, since 2×1604616640² = 5149589122729779200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1604616596 and 1604616605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604616641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2136265 + ... + 2137015.

Almost surely, 2^1604616640 is an apocalyptic number.

1604616640 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 1604616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090391552).

1604616640 is an abundant number, since it is smaller than the sum of its proper divisors (2576166464).

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

1604616640 is a wasteful number, since it uses less digits than its factorization.

1604616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1604616640 is about 40057.6664322823. Note that the first 3 decimals coincide. The cubic root of 1604616640 is about 1170.7309431646.

The spelling of 1604616640 in words is "one billion, six hundred four million, six hundred sixteen thousand, six hundred forty".