1302385680 has 60 divisors (see below), whose sum is σ = 4373847660. Its totient is φ = 347302656.

The previous prime is 1302385531. The next prime is 1302385687. The reversal of 1302385680 is 865832031.

It can be written as a sum of positive squares in 2 ways, for example, as 610485264 + 691900416 = 24708^2 + 26304^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1302385687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 903715 + ... + 905154.

It is an arithmetic number, because the mean of its divisors is an integer number (72897461).

Almost surely, 2^1302385680 is an apocalyptic number.

1302385680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302385680 is an abundant number, since it is smaller than the sum of its proper divisors (3071461980).

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

1302385680 is a wasteful number, since it uses less digits than its factorization.

1302385680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808888 (or 1808879 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1302385680 is about 36088.5810194859. The cubic root of 1302385680 is about 1092.0600941046.

The spelling of 1302385680 in words is "one billion, three hundred two million, three hundred eighty-five thousand, six hundred eighty".