355968 has 64 divisors (see below), whose sum is σ = 1060800. Its totient is φ = 117504.

The previous prime is 355967. The next prime is 355969. The reversal of 355968 is 869553.

It is an interprime number because it is at equal distance from previous prime (355967) and next prime (355969).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32400) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (355967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3405 + ... + 3507.

It is an arithmetic number, because the mean of its divisors is an integer number (16575).

2³⁵⁵⁹⁶⁸ 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 355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530400).

355968 is an abundant number, since it is smaller than the sum of its proper divisors (704832).

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

355968 is a wasteful number, since it uses less digits than its factorization.

355968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 355968 is about 596.6305389435. The cubic root of 355968 is about 70.8712870035.

The spelling of 355968 in words is "three hundred fifty-five thousand, nine hundred sixty-eight".