1597408320 has 56 divisors (see below), whose sum is σ = 5071774464. Its totient is φ = 425975296.

The previous prime is 1597408301. The next prime is 1597408321. The reversal of 1597408320 is 238047951.

It is not an unprimeable number, because it can be changed into a prime (1597408321) 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 7 ways as a sum of consecutive naturals, for example, 831024 + ... + 832943.

Almost surely, 2^1597408320 is an apocalyptic number.

1597408320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1597408320 is an abundant number, since it is smaller than the sum of its proper divisors (3474366144).

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

1597408320 is a wasteful number, since it uses less digits than its factorization.

1597408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663987 (or 1663977 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1597408320 is about 39967.5908706041. The cubic root of 1597408320 is about 1168.9752441471.

The spelling of 1597408320 in words is "one billion, five hundred ninety-seven million, four hundred eight thousand, three hundred twenty".