1368928800 has 108 divisors (see below), whose sum is σ = 4827210570. Its totient is φ = 365045760.

The previous prime is 1368928793. The next prime is 1368928801. The reversal of 1368928800 is 88298631.

1368928800 is a `hidden beast` number, since 1 + 368 + 9 + 288 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 639280656 + 729648144 = 25284^2 + 27012^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1368928801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87865 + ... + 102264.

Almost surely, 2^1368928800 is an apocalyptic number.

1368928800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1368928800 is an abundant number, since it is smaller than the sum of its proper divisors (3458281770).

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

1368928800 is a wasteful number, since it uses less digits than its factorization.

1368928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190155 (or 190139 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1368928800 is about 36999.0378253273. The cubic root of 1368928800 is about 1110.3509968630.

The spelling of 1368928800 in words is "one billion, three hundred sixty-eight million, nine hundred twenty-eight thousand, eight hundred".