336123920 has 80 divisors (see below), whose sum is σ = 881997120. Its totient is φ = 118003200.

The previous prime is 336123913. The next prime is 336123929. The reversal of 336123920 is 29321633.

336123920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×336123920² = 225958579192332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (336123929) 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, 18935 + ... + 32105.

It is an arithmetic number, because the mean of its divisors is an integer number (11024964).

Almost surely, 2^336123920 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 336123920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440998560).

336123920 is an abundant number, since it is smaller than the sum of its proper divisors (545873200).

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

336123920 is a wasteful number, since it uses less digits than its factorization.

336123920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13224 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 336123920 is about 18333.6826633385. The cubic root of 336123920 is about 695.2907845880.

The spelling of 336123920 in words is "three hundred thirty-six million, one hundred twenty-three thousand, nine hundred twenty".