368688096 has 144 divisors (see below), whose sum is σ = 1205568000. Its totient is φ = 104696064.

The previous prime is 368688083. The next prime is 368688119. The reversal of 368688096 is 690886863.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400725 + ... + 401643.

It is an arithmetic number, because the mean of its divisors is an integer number (8372000).

Almost surely, 2^368688096 is an apocalyptic number.

368688096 is a gapful number since it is divisible by the number (36) 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 368688096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602784000).

368688096 is an abundant number, since it is smaller than the sum of its proper divisors (836879904).

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

368688096 is a wasteful number, since it uses less digits than its factorization.

368688096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 368688096 is about 19201.2524591496. The cubic root of 368688096 is about 717.0559412011.

The spelling of 368688096 in words is "three hundred sixty-eight million, six hundred eighty-eight thousand, ninety-six".