363873160 has 64 divisors (see below), whose sum is σ = 938488320. Its totient is φ = 124381440.

The previous prime is 363873157. The next prime is 363873163. The reversal of 363873160 is 61378363.

It is an interprime number because it is at equal distance from previous prime (363873157) and next prime (363873163).

It is not an unprimeable number, because it can be changed into a prime (363873163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100990 + ... + 104530.

It is an arithmetic number, because the mean of its divisors is an integer number (14663880).

Almost surely, 2^363873160 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 363873160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469244160).

363873160 is an abundant number, since it is smaller than the sum of its proper divisors (574615160).

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

363873160 is a wasteful number, since it uses less digits than its factorization.

363873160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 363873160 is about 19075.4596274900. The cubic root of 363873160 is about 713.9207542814.

The spelling of 363873160 in words is "three hundred sixty-three million, eight hundred seventy-three thousand, one hundred sixty".