363146160 has 160 divisors (see below), whose sum is σ = 1219921920. Its totient is φ = 88833024.

The previous prime is 363146159. The next prime is 363146167. The reversal of 363146160 is 61641363.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (363146167) 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, 745437 + ... + 745923.

It is an arithmetic number, because the mean of its divisors is an integer number (7624512).

Almost surely, 2^363146160 is an apocalyptic number.

363146160 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 363146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609960960).

363146160 is an abundant number, since it is smaller than the sum of its proper divisors (856775760).

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

363146160 is a wasteful number, since it uses less digits than its factorization.

363146160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 363146160 is about 19056.3942024718. The cubic root of 363146160 is about 713.4449782067. Note that the first 3 decimals are identical.

The spelling of 363146160 in words is "three hundred sixty-three million, one hundred forty-six thousand, one hundred sixty".