363000960 has 256 divisors, whose sum is σ = 1469779200. Its totient is φ = 82944000.

The previous prime is 363000959. The next prime is 363001013. The reversal of 363000960 is 69000363.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119460 + ... + 122460.

It is an arithmetic number, because the mean of its divisors is an integer number (5741325).

Almost surely, 2^363000960 is an apocalyptic number.

363000960 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 363000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734889600).

363000960 is an abundant number, since it is smaller than the sum of its proper divisors (1106778240).

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

363000960 is a wasteful number, since it uses less digits than its factorization.

363000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 363000960 is about 19052.5840767073. The cubic root of 363000960 is about 713.3498778201.

The spelling of 363000960 in words is "three hundred sixty-three million, nine hundred sixty", and thus it is an aban number.