359655660 has 288 divisors, whose sum is σ = 1387169280. Its totient is φ = 75748608.

The previous prime is 359655643. The next prime is 359655661. The reversal of 359655660 is 66556953.

359655660 is a `hidden beast` number, since 3 + 5 + 96 + 556 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (359655661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638539 + ... + 639101.

It is an arithmetic number, because the mean of its divisors is an integer number (4816560).

Almost surely, 2^359655660 is an apocalyptic number.

359655660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359655660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693584640).

359655660 is an abundant number, since it is smaller than the sum of its proper divisors (1027513620).

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

359655660 is a wasteful number, since it uses less digits than its factorization.

359655660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The square root of 359655660 is about 18964.5896343686. The cubic root of 359655660 is about 711.1517773149.

The spelling of 359655660 in words is "three hundred fifty-nine million, six hundred fifty-five thousand, six hundred sixty".