368522640 has 120 divisors (see below), whose sum is σ = 1241343168. Its totient is φ = 97977600.

The previous prime is 368522603. The next prime is 368522641. The reversal of 368522640 is 46225863.

368522640 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 2 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 368522595 and 368522604.

It is not an unprimeable number, because it can be changed into a prime (368522641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350115 + ... + 351165.

Almost surely, 2^368522640 is an apocalyptic number.

368522640 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 368522640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620671584).

368522640 is an abundant number, since it is smaller than the sum of its proper divisors (872820528).

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

368522640 is a wasteful number, since it uses less digits than its factorization.

368522640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 368522640 is about 19196.9435067148. The cubic root of 368522640 is about 716.9486608549.

The spelling of 368522640 in words is "three hundred sixty-eight million, five hundred twenty-two thousand, six hundred forty".