368553640 has 192 divisors, whose sum is σ = 1089244800. Its totient is φ = 108988416.

The previous prime is 368553611. The next prime is 368553641. The reversal of 368553640 is 46355863.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 368553593 and 368553602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368553641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5048644 + ... + 5048716.

It is an arithmetic number, because the mean of its divisors is an integer number (5673150).

Almost surely, 2^368553640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368553640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544622400).

368553640 is an abundant number, since it is smaller than the sum of its proper divisors (720691160).

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

368553640 is a wasteful number, since it uses less digits than its factorization.

368553640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 368553640 is about 19197.7509099373. The cubic root of 368553640 is about 716.9687634510.

The spelling of 368553640 in words is "three hundred sixty-eight million, five hundred fifty-three thousand, six hundred forty".