336420 has 96 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 76032.

The previous prime is 336419. The next prime is 336437. The reversal of 336420 is 24633.

336420 = T₂₈₆ + T₂₈₇ + ... + T₂₉₃.

It is a super-2 number, since 2×336420² = 226356832800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 336393 and 336402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3736 + ... + 3824.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2³³⁶⁴²⁰ is an apocalyptic number.

336420 is a gapful number since it is divisible by the number (30) 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 336420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

336420 is an abundant number, since it is smaller than the sum of its proper divisors (873180).

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

336420 is a wasteful number, since it uses less digits than its factorization.

336420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 336420 is about 580.0172411231. The cubic root of 336420 is about 69.5494877253.

The spelling of 336420 in words is "three hundred thirty-six thousand, four hundred twenty".