363668080 has 40 divisors (see below), whose sum is σ = 895268592. Its totient is φ = 136909824.

The previous prime is 363668059. The next prime is 363668083. The reversal of 363668080 is 80866363.

363668080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363668083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132342 + ... + 135061.

Almost surely, 2^363668080 is an apocalyptic number.

It is an amenable number.

363668080 is an abundant number, since it is smaller than the sum of its proper divisors (531600512).

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

363668080 is a wasteful number, since it uses less digits than its factorization.

363668080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267433 (or 267427 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 363668080 is about 19070.0833768497. The cubic root of 363668080 is about 713.7866064530.

The spelling of 363668080 in words is "three hundred sixty-three million, six hundred sixty-eight thousand, eighty".