368787120 has 240 divisors, whose sum is σ = 1311061920. Its totient is φ = 85229568.

The previous prime is 368787119. The next prime is 368787121. The reversal of 368787120 is 21787863.

It is an interprime number because it is at equal distance from previous prime (368787119) and next prime (368787121).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (368787121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901476 + ... + 901884.

It is an arithmetic number, because the mean of its divisors is an integer number (5462758).

Almost surely, 2^368787120 is an apocalyptic number.

368787120 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 368787120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655530960).

368787120 is an abundant number, since it is smaller than the sum of its proper divisors (942274800).

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

368787120 is a wasteful number, since it uses less digits than its factorization.

368787120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 368787120 is about 19203.8308678243. The cubic root of 368787120 is about 717.1201322181.

The spelling of 368787120 in words is "three hundred sixty-eight million, seven hundred eighty-seven thousand, one hundred twenty".