1368000480 has 192 divisors, whose sum is σ = 5372656128. Its totient is φ = 284252160.

The previous prime is 1368000479. The next prime is 1368000481. The reversal of 1368000480 is 840008631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1368000479) and next prime (1368000481).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368000481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18454 + ... + 55466.

It is an arithmetic number, because the mean of its divisors is an integer number (27982584).

Almost surely, 2^1368000480 is an apocalyptic number.

1368000480 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 1368000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686328064).

1368000480 is an abundant number, since it is smaller than the sum of its proper divisors (4004655648).

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

1368000480 is a wasteful number, since it uses less digits than its factorization.

1368000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37049 (or 37041 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1368000480 is about 36986.4905066701. The cubic root of 1368000480 is about 1110.0999504185.

The spelling of 1368000480 in words is "one billion, three hundred sixty-eight million, four hundred eighty", and thus it is an aban number.