336906 has 32 divisors (see below), whose sum is σ = 794880. Its totient is φ = 105408.

The previous prime is 336901. The next prime is 336911. The reversal of 336906 is 609633.

It is an interprime number because it is at equal distance from previous prime (336901) and next prime (336911).

It is a super-2 number, since 2×336906² = 227011305672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 336906.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336906.

It is not an unprimeable number, because it can be changed into a prime (336901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (24840).

2³³⁶⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397440).

336906 is an abundant number, since it is smaller than the sum of its proper divisors (457974).

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

336906 is a wasteful number, since it uses less digits than its factorization.

336906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 336906 is about 580.4360429884. The cubic root of 336906 is about 69.5829625360.

The spelling of 336906 in words is "three hundred thirty-six thousand, nine hundred six".