1307204640 has 288 divisors, whose sum is σ = 5224093056. Its totient is φ = 291409920.

The previous prime is 1307204629. The next prime is 1307204653. The reversal of 1307204640 is 464027031.

1307204640 is a `hidden beast` number, since 13 + 0 + 7 + 2 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411699 + ... + 414861.

It is an arithmetic number, because the mean of its divisors is an integer number (18139212).

Almost surely, 2^1307204640 is an apocalyptic number.

1307204640 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 1307204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612046528).

1307204640 is an abundant number, since it is smaller than the sum of its proper divisors (3916888416).

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

1307204640 is a wasteful number, since it uses less digits than its factorization.

1307204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1307204640 is about 36155.2850908411. The cubic root of 1307204640 is about 1093.4053475601.

The spelling of 1307204640 in words is "one billion, three hundred seven million, two hundred four thousand, six hundred forty".