363061920 has 192 divisors, whose sum is σ = 1248234624. Its totient is φ = 88166400.

The previous prime is 363061903. The next prime is 363062009. The reversal of 363061920 is 29160363.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 517570 + ... + 518270.

It is an arithmetic number, because the mean of its divisors is an integer number (6501222).

Almost surely, 2^363061920 is an apocalyptic number.

363061920 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 363061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

363061920 is an abundant number, since it is smaller than the sum of its proper divisors (885172704).

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

363061920 is a wasteful number, since it uses less digits than its factorization.

363061920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 363061920 is about 19054.1837925428. The cubic root of 363061920 is about 713.3898073514.

It can be divided in two parts, 36306 and 1920, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 363061920 in words is "three hundred sixty-three million, sixty-one thousand, nine hundred twenty".