356816 has 20 divisors (see below), whose sum is σ = 716100. Its totient is φ = 172032.

The previous prime is 356803. The next prime is 356819. The reversal of 356816 is 618653.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 193600 = 404^2 + 440^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356819) 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, 80 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (35805).

2³⁵⁶⁸¹⁶ 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 356816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358050).

356816 is an abundant number, since it is smaller than the sum of its proper divisors (359284).

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

356816 is a wasteful number, since it uses less digits than its factorization.

356816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 356816 is about 597.3407737632. The cubic root of 356816 is about 70.9275197653.

The spelling of 356816 in words is "three hundred fifty-six thousand, eight hundred sixteen".