1307088960 has 224 divisors, whose sum is σ = 4325916672. Its totient is φ = 334018560.

The previous prime is 1307088947. The next prime is 1307088961. The reversal of 1307088960 is 698807031.

It is not an unprimeable number, because it can be changed into a prime (1307088961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4969789 + ... + 4970051.

It is an arithmetic number, because the mean of its divisors is an integer number (19312128).

Almost surely, 2^1307088960 is an apocalyptic number.

1307088960 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 1307088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162958336).

1307088960 is an abundant number, since it is smaller than the sum of its proper divisors (3018827712).

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

1307088960 is a wasteful number, since it uses less digits than its factorization.

1307088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1307088960 is about 36153.6852893312. The cubic root of 1307088960 is about 1093.3730932728.

The spelling of 1307088960 in words is "one billion, three hundred seven million, eighty-eight thousand, nine hundred sixty".