368640001 has 8 divisors (see below), whose sum is σ = 373590504. Its totient is φ = 363715200.

The previous prime is 368639983. The next prime is 368640017. The reversal of 368640001 is 100046863.

It is a Cunningham number, because it is equal to 19200²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 303595776 + 65044225 = 17424^2 + 8065^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 368640001 - 2⁵ = 368639969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (368640031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23365 + ... + 35821.

It is an arithmetic number, because the mean of its divisors is an integer number (46698813).

It is a Proth number, since it is equal to 5625 ⋅ 2¹⁶ + 1 and 5625 < 2¹⁶.

Almost surely, 2^368640001 is an apocalyptic number.

It is an amenable number.

368640001 is a deficient number, since it is larger than the sum of its proper divisors (4950503).

368640001 is a wasteful number, since it uses less digits than its factorization.

368640001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12851.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 368640001 is about 19200.0000260417. Note that the first 4 decimals coincide. The cubic root of 368640001 is about 717.0247600975.

Adding to 368640001 its reverse (100046863), we get a palindrome (468686864).

The spelling of 368640001 in words is "three hundred sixty-eight million, six hundred forty thousand, one".