336081920 has 88 divisors (see below), whose sum is σ = 826382088. Its totient is φ = 131072000.

The previous prime is 336081917. The next prime is 336081929. The reversal of 336081920 is 29180633.

It can be written as a sum of positive squares in 4 ways, for example, as 52765696 + 283316224 = 7264^2 + 16832^2 .

It is a super-2 number, since 2×336081920² = 225902113901772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336081929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209120 + ... + 210720.

Almost surely, 2^336081920 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 336081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413191044).

336081920 is an abundant number, since it is smaller than the sum of its proper divisors (490300168).

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

336081920 is a wasteful number, since it uses less digits than its factorization.

336081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 336081920 is about 18332.5371948348. The cubic root of 336081920 is about 695.2618236130.

The spelling of 336081920 in words is "three hundred thirty-six million, eighty-one thousand, nine hundred twenty".