368688960 has 168 divisors, whose sum is σ = 1275298440. Its totient is φ = 97763328.

The previous prime is 368688959. The next prime is 368688973. The reversal of 368688960 is 69886863.

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 352237824 = 4056^2 + 18768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 368688897 and 368688906.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 901236 + ... + 901644.

Almost surely, 2^368688960 is an apocalyptic number.

368688960 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 368688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637649220).

368688960 is an abundant number, since it is smaller than the sum of its proper divisors (906609480).

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

368688960 is a wasteful number, since it uses less digits than its factorization.

368688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 368688960 is about 19201.2749576688. The cubic root of 368688960 is about 717.0565013276.

The spelling of 368688960 in words is "three hundred sixty-eight million, six hundred eighty-eight thousand, nine hundred sixty".