356864 has 40 divisors (see below), whose sum is σ = 773388. Its totient is φ = 163840.

The previous prime is 356831. The next prime is 356869. The reversal of 356864 is 468653.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 6400 = 592^2 + 80^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (17280) is a multiple of the sum of its prime divisors (60).

It is a self number, because there is not a number n which added to its sum of digits gives 356864.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 356864.

It is not an unprimeable number, because it can be changed into a prime (356869) 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, 8684 + ... + 8724.

2³⁵⁶⁸⁶⁴ is an apocalyptic number.

356864 is a gapful number since it is divisible by the number (34) 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 356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386694).

356864 is an abundant number, since it is smaller than the sum of its proper divisors (416524).

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

356864 is an equidigital number, since it uses as much as digits as its factorization.

356864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 356864 is about 597.3809504830. The cubic root of 356864 is about 70.9307000863.

The spelling of 356864 in words is "three hundred fifty-six thousand, eight hundred sixty-four".