1367400960 has 320 divisors, whose sum is σ = 4941826560. Its totient is φ = 358318080.

The previous prime is 1367400959. The next prime is 1367400997. The reversal of 1367400960 is 690047631.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5045625 + ... + 5045895.

It is an arithmetic number, because the mean of its divisors is an integer number (15443208).

Almost surely, 2^1367400960 is an apocalyptic number.

1367400960 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 1367400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470913280).

1367400960 is an abundant number, since it is smaller than the sum of its proper divisors (3574425600).

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

1367400960 is an equidigital number, since it uses as much as digits as its factorization.

1367400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1367400960 is about 36978.3850377487. The cubic root of 1367400960 is about 1109.9377613021.

The spelling of 1367400960 in words is "one billion, three hundred sixty-seven million, four hundred thousand, nine hundred sixty".