126918336 has 56 divisors (see below), whose sum is σ = 337834224. Its totient is φ = 42050560.

The previous prime is 126918293. The next prime is 126918359. The reversal of 126918336 is 633819621.

It is a super-3 number, since 3×126918336³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 126918294 and 126918303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31306 + ... + 35126.

It is an arithmetic number, because the mean of its divisors is an integer number (6032754).

Almost surely, 2^126918336 is an apocalyptic number.

126918336 is a gapful number since it is divisible by the number (16) 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 126918336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168917112).

126918336 is an abundant number, since it is smaller than the sum of its proper divisors (210915888).

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

126918336 is a wasteful number, since it uses less digits than its factorization.

126918336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3999 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 126918336 is about 11265.8038328386. The cubic root of 126918336 is about 502.5448072715.

The spelling of 126918336 in words is "one hundred twenty-six million, nine hundred eighteen thousand, three hundred thirty-six".