1597135980 has 96 divisors (see below), whose sum is σ = 4889525760. Its totient is φ = 386311680.

The previous prime is 1597135961. The next prime is 1597135987. The reversal of 1597135980 is 895317951.

It is a super-2 number, since 2×1597135980² = 5101686677221120800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1597135987) 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 31 ways as a sum of consecutive naturals, for example, 318936 + ... + 323904.

It is an arithmetic number, because the mean of its divisors is an integer number (50932560).

Almost surely, 2^1597135980 is an apocalyptic number.

1597135980 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 1597135980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444762880).

1597135980 is an abundant number, since it is smaller than the sum of its proper divisors (3292389780).

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

1597135980 is a wasteful number, since it uses less digits than its factorization.

1597135980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 48.

The square root of 1597135980 is about 39964.1837149215. The cubic root of 1597135980 is about 1168.9088080314.

The spelling of 1597135980 in words is "one billion, five hundred ninety-seven million, one hundred thirty-five thousand, nine hundred eighty".