356796 has 72 divisors (see below), whose sum is σ = 1061424. Its totient is φ = 99840.

The previous prime is 356761. The next prime is 356803. The reversal of 356796 is 697653.

It is a happy number.

356796 is a `hidden beast` number, since 3 + 567 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 356796.

It is a congruent number.

It is an unprimeable number.

356796 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6706 + ... + 6758.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2³⁵⁶⁷⁹⁶ is an apocalyptic number.

356796 is a gapful number since it is divisible by the number (36) 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 356796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712).

356796 is an abundant number, since it is smaller than the sum of its proper divisors (704628).

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

356796 is a wasteful number, since it uses less digits than its factorization.

356796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 86 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 356796 is about 597.3240326657. The cubic root of 356796 is about 70.9261945473.

It can be divided in two parts, 3567 and 96, that added together give a palindrome (3663).

The spelling of 356796 in words is "three hundred fifty-six thousand, seven hundred ninety-six".