1597639680 has 704 divisors, whose sum is σ = 7042990080. Its totient is φ = 334430208.

The previous prime is 1597639669. The next prime is 1597639691. The reversal of 1597639680 is 869367951.

It is an interprime number because it is at equal distance from previous prime (1597639669) and next prime (1597639691).

It is a super-2 number, since 2×1597639680² = 5104905094221004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12579777 + ... + 12579903.

Almost surely, 2^1597639680 is an apocalyptic number.

1597639680 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 1597639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521495040).

1597639680 is an abundant number, since it is smaller than the sum of its proper divisors (5445350400).

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

1597639680 is a wasteful number, since it uses less digits than its factorization.

1597639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1597639680 is about 39970.4851108915. The cubic root of 1597639680 is about 1169.0316774445.

The spelling of 1597639680 in words is "one billion, five hundred ninety-seven million, six hundred thirty-nine thousand, six hundred eighty".