368601601 has 9 divisors (see below), whose sum is σ = 375146499. Its totient is φ = 362169936.

The previous prime is 368601581. The next prime is 368601619. The reversal of 368601601 is 106106863.

The square root of 368601601 is 19199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 209236225 + 159365376 = 14465^2 + 12624^2 .

It is not a de Polignac number, because 368601601 - 2¹³ = 368593409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (368601661) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1401396 + ... + 1401658.

Almost surely, 2^368601601 is an apocalyptic number.

368601601 is the 19199-th square number.

368601601 is the 9600-th centered octagonal number.

It is an amenable number.

368601601 is a deficient number, since it is larger than the sum of its proper divisors (6544898).

368601601 is an frugal number, since it uses more digits than its factorization.

368601601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 368601601 is about 716.9998625400. Note that the first 3 decimals are identical.

Multiplying 368601601 by its product of nonzero digits (5184), we get a square (1910830699584 = 1382328²).

The spelling of 368601601 in words is "three hundred sixty-eight million, six hundred one thousand, six hundred one".