336122920 has 256 divisors, whose sum is σ = 987033600. Its totient is φ = 100362240.

The previous prime is 336122909. The next prime is 336122923. The reversal of 336122920 is 29221633.

It is a super-2 number, since 2×336122920² = 225957234698652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (336122923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5016727 + ... + 5016793.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^336122920 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 336122920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

336122920 is an abundant number, since it is smaller than the sum of its proper divisors (650910680).

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

336122920 is a wasteful number, since it uses less digits than its factorization.

336122920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 336122920 is about 18333.6553911106. The cubic root of 336122920 is about 695.2900950690.

It can be divided in two parts, 336 and 122920, that added together give a triangular number (123256 = T₄₉₆).

The spelling of 336122920 in words is "three hundred thirty-six million, one hundred twenty-two thousand, nine hundred twenty".