363000660 has 96 divisors (see below), whose sum is σ = 1174061952. Its totient is φ = 82821120.

The previous prime is 363000641. The next prime is 363000661. The reversal of 363000660 is 66000363.

It is a self number, because there is not a number n which added to its sum of digits gives 363000660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363000661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4957 + ... + 27396.

It is an arithmetic number, because the mean of its divisors is an integer number (12229812).

Almost surely, 2^363000660 is an apocalyptic number.

363000660 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 363000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587030976).

363000660 is an abundant number, since it is smaller than the sum of its proper divisors (811061292).

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

363000660 is a wasteful number, since it uses less digits than its factorization.

363000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32393 (or 32391 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 363000660 is about 19052.5762037579. The cubic root of 363000660 is about 713.3496813054.

The spelling of 363000660 in words is "three hundred sixty-three million, six hundred sixty", and thus it is an aban number.