359960856 has 128 divisors (see below), whose sum is σ = 1007769600. Its totient is φ = 106557440.

The previous prime is 359960851. The next prime is 359960911. The reversal of 359960856 is 658069953.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 359960799 and 359960808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359960851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834961 + ... + 835391.

It is an arithmetic number, because the mean of its divisors is an integer number (7873200).

Almost surely, 2^359960856 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 359960856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503884800).

359960856 is an abundant number, since it is smaller than the sum of its proper divisors (647808744).

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

359960856 is a wasteful number, since it uses less digits than its factorization.

359960856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The square root of 359960856 is about 18972.6343979954. The cubic root of 359960856 is about 711.3528764391.

The spelling of 359960856 in words is "three hundred fifty-nine million, nine hundred sixty thousand, eight hundred fifty-six".