361320564 has 48 divisors (see below), whose sum is σ = 921090240. Its totient is φ = 109328640.

The previous prime is 361320559. The next prime is 361320569. The reversal of 361320564 is 465023163.

It is an interprime number because it is at equal distance from previous prime (361320559) and next prime (361320569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361320569) 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, 110992 + ... + 114200.

It is an arithmetic number, because the mean of its divisors is an integer number (19189380).

Almost surely, 2^361320564 is an apocalyptic number.

It is an amenable number.

361320564 is an abundant number, since it is smaller than the sum of its proper divisors (559769676).

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

361320564 is a wasteful number, since it uses less digits than its factorization.

361320564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 361320564 is about 19008.4340228226. The cubic root of 361320564 is about 712.2474337807.

The spelling of 361320564 in words is "three hundred sixty-one million, three hundred twenty thousand, five hundred sixty-four".