336420864 has 252 divisors, whose sum is σ = 1091304396. Its totient is φ = 103514112.

The previous prime is 336420857. The next prime is 336420881. The reversal of 336420864 is 468024633.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

336420864 is a `hidden beast` number, since 3 + 3 + 642 + 0 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×336420864² = 226357995469012992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25878522 + ... + 25878534.

It is an arithmetic number, because the mean of its divisors is an integer number (4330573).

Almost surely, 2^336420864 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 336420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545652198).

336420864 is an abundant number, since it is smaller than the sum of its proper divisors (754883532).

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

336420864 is an frugal number, since it uses more digits than its factorization.

336420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 336420864 is about 18341.7791939604. The cubic root of 336420864 is about 695.4954726465.

The spelling of 336420864 in words is "three hundred thirty-six million, four hundred twenty thousand, eight hundred sixty-four".