1604556980 has 90 divisors (see below), whose sum is σ = 3720531486. Its totient is φ = 581273472.

The previous prime is 1604556977. The next prime is 1604556983. The reversal of 1604556980 is 896554061.

It is an interprime number because it is at equal distance from previous prime (1604556977) and next prime (1604556983).

It can be written as a sum of positive squares in 15 ways, for example, as 1520688016 + 83868964 = 38996^2 + 9158^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604556983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30274634 + ... + 30274686.

Almost surely, 2^1604556980 is an apocalyptic number.

1604556980 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 1604556980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860265743).

1604556980 is an abundant number, since it is smaller than the sum of its proper divisors (2115974506).

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

1604556980 is an frugal number, since it uses more digits than its factorization.

1604556980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 1604556980 is about 40056.9217489312. The cubic root of 1604556980 is about 1170.7164336400.

The spelling of 1604556980 in words is "one billion, six hundred four million, five hundred fifty-six thousand, nine hundred eighty".