1307545600 has 117 divisors (see below), whose sum is σ = 3271264243. Its totient is φ = 518389760.

The previous prime is 1307545573. The next prime is 1307545643. The reversal of 1307545600 is 65457031.

The square root of 1307545600 is 36160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 665227264 + 642318336 = 25792^2 + 25344^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 11571144 + ... + 11571256.

Almost surely, 2^1307545600 is an apocalyptic number.

1307545600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1307545600 is the 36160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307545600

1307545600 is an abundant number, since it is smaller than the sum of its proper divisors (1963718643).

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

1307545600 is an frugal number, since it uses more digits than its factorization.

1307545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The cubic root of 1307545600 is about 1093.5004041073.

The spelling of 1307545600 in words is "one billion, three hundred seven million, five hundred forty-five thousand, six hundred".