356688 has 30 divisors (see below), whose sum is σ = 998634. Its totient is φ = 118848.

The previous prime is 356663. The next prime is 356693. The reversal of 356688 is 886653.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 51984 = 552^2 + 228^2 .

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

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

356688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1095 + ... + 1382.

2³⁵⁶⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

356688 is an abundant number, since it is smaller than the sum of its proper divisors (641946).

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

356688 is a wasteful number, since it uses less digits than its factorization.

356688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2482 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 356688 is about 597.2336226302. The cubic root of 356688 is about 70.9190375145.

The spelling of 356688 in words is "three hundred fifty-six thousand, six hundred eighty-eight".