1302640000 has 160 divisors (see below), whose sum is σ = 3417499800. Its totient is φ = 493056000.

The previous prime is 1302639991. The next prime is 1302640013. The reversal of 1302640000 is 462031.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 1519572 + ... + 1520428.

Almost surely, 2^1302640000 is an apocalyptic number.

1302640000 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 1302640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708749900).

1302640000 is an abundant number, since it is smaller than the sum of its proper divisors (2114859800).

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

1302640000 is an frugal number, since it uses more digits than its factorization.

1302640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1302640000 is about 36092.1043997160. The cubic root of 1302640000 is about 1092.1311725498.

The spelling of 1302640000 in words is "one billion, three hundred two million, six hundred forty thousand".