363022720 has 64 divisors (see below), whose sum is σ = 870704640. Its totient is φ = 144732160.

The previous prime is 363022711. The next prime is 363022739. The reversal of 363022720 is 27220363.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 244380 + ... + 245860.

It is an arithmetic number, because the mean of its divisors is an integer number (13604760).

Almost surely, 2^363022720 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 363022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435352320).

363022720 is an abundant number, since it is smaller than the sum of its proper divisors (507681920).

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

363022720 is a wasteful number, since it uses less digits than its factorization.

363022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 363022720 is about 19053.1551192972. The cubic root of 363022720 is about 713.3641313941.

The spelling of 363022720 in words is "three hundred sixty-three million, twenty-two thousand, seven hundred twenty".