1367630960 has 80 divisors (see below), whose sum is σ = 3404916000. Its totient is φ = 509042688.

The previous prime is 1367630959. The next prime is 1367630993. The reversal of 1367630960 is 690367631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 115391 + ... + 126689.

It is an arithmetic number, because the mean of its divisors is an integer number (42561450).

Almost surely, 2^1367630960 is an apocalyptic number.

1367630960 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 1367630960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702458000).

1367630960 is an abundant number, since it is smaller than the sum of its proper divisors (2037285040).

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

1367630960 is a wasteful number, since it uses less digits than its factorization.

1367630960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 41.

The square root of 1367630960 is about 36981.4948318750. The cubic root of 1367630960 is about 1109.9999891784. Note that the first 4 decimals are identical.

The spelling of 1367630960 in words is "one billion, three hundred sixty-seven million, six hundred thirty thousand, nine hundred sixty".