368368560 has 240 divisors, whose sum is σ = 1466739456. Its totient is φ = 84167424.

The previous prime is 368368541. The next prime is 368368589. The reversal of 368368560 is 65863863.

368368560 is a `hidden beast` number, since 3 + 6 + 83 + 6 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134727 + ... + 137433.

Almost surely, 2^368368560 is an apocalyptic number.

368368560 is a gapful number since it is divisible by the number (30) 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 368368560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733369728).

368368560 is an abundant number, since it is smaller than the sum of its proper divisors (1098370896).

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

368368560 is a wasteful number, since it uses less digits than its factorization.

368368560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 368368560 is about 19192.9299482909. The cubic root of 368368560 is about 716.8487277375.

The spelling of 368368560 in words is "three hundred sixty-eight million, three hundred sixty-eight thousand, five hundred sixty".