1603879680 has 432 divisors, whose sum is σ = 5887455840. Its totient is φ = 369819648.

The previous prime is 1603879679. The next prime is 1603879681. The reversal of 1603879680 is 869783061.

It is an interprime number because it is at equal distance from previous prime (1603879679) and next prime (1603879681).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1603879681) 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 47 ways as a sum of consecutive naturals, for example, 18021076 + ... + 18021164.

It is an arithmetic number, because the mean of its divisors is an integer number (13628370).

Almost surely, 2^1603879680 is an apocalyptic number.

1603879680 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 1603879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943727920).

1603879680 is an abundant number, since it is smaller than the sum of its proper divisors (4283576160).

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

1603879680 is a wasteful number, since it uses less digits than its factorization.

1603879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1603879680 is about 40048.4666373133. The cubic root of 1603879680 is about 1170.5516866426.

The spelling of 1603879680 in words is "one billion, six hundred three million, eight hundred seventy-nine thousand, six hundred eighty".