359661568 has 84 divisors (see below), whose sum is σ = 838860400. Its totient is φ = 154140672.

The previous prime is 359661559. The next prime is 359661569. The reversal of 359661568 is 865166953.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (1166400) is a multiple of the sum of its prime divisors (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359661569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51380221 + ... + 51380227.

Almost surely, 2^359661568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419430200).

359661568 is an abundant number, since it is smaller than the sum of its proper divisors (479198832).

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

359661568 is an frugal number, since it uses more digits than its factorization.

359661568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 9 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The square root of 359661568 is about 18964.7453977110. The cubic root of 359661568 is about 711.1556712818.

Multiplying 359661568 by its sum of digits (49), we get a 5-th power (17623416832 = 112⁵).

The spelling of 359661568 in words is "three hundred fifty-nine million, six hundred sixty-one thousand, five hundred sixty-eight".