360624641 has 16 divisors (see below), whose sum is σ = 393722448. Its totient is φ = 328320000.

The previous prime is 360624601. The next prime is 360624653. The reversal of 360624641 is 146426063.

It can be written as a sum of positive squares in 8 ways, for example, as 79727041 + 280897600 = 8929^2 + 16760^2 .

It is a cyclic number.

It is not a de Polignac number, because 360624641 - 2¹⁴ = 360608257 is a prime.

It is a Duffinian number.

360624641 is a modest number, since divided by 24641 gives 3606 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 360624598 and 360624607.

It is not an unprimeable number, because it can be changed into a prime (360624601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599741 + ... + 600341.

It is an arithmetic number, because the mean of its divisors is an integer number (24607653).

Almost surely, 2^360624641 is an apocalyptic number.

It is an amenable number.

360624641 is a deficient number, since it is larger than the sum of its proper divisors (33097807).

360624641 is a wasteful number, since it uses less digits than its factorization.

360624641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172.

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 360624641 is about 18990.1195625515. The cubic root of 360624641 is about 711.7898641597.

The spelling of 360624641 in words is "three hundred sixty million, six hundred twenty-four thousand, six hundred forty-one".