1367904920 has 48 divisors (see below), whose sum is σ = 3146960160. Its totient is φ = 534892416.

The previous prime is 1367904919. The next prime is 1367904929. The reversal of 1367904920 is 294097631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1367904929) 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, 1603214 + ... + 1604066.

It is an arithmetic number, because the mean of its divisors is an integer number (65561670).

Almost surely, 2^1367904920 is an apocalyptic number.

1367904920 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 1367904920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573480080).

1367904920 is an abundant number, since it is smaller than the sum of its proper divisors (1779055240).

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

1367904920 is an frugal number, since it uses more digits than its factorization.

1367904920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 1367904920 is about 36985.1986610860. The cubic root of 1367904920 is about 1110.0741015920.

The spelling of 1367904920 in words is "one billion, three hundred sixty-seven million, nine hundred four thousand, nine hundred twenty".