126839440 has 240 divisors, whose sum is σ = 391849920. Its totient is φ = 37739520.

The previous prime is 126839423. The next prime is 126839443. The reversal of 126839440 is 44938621.

It is a self number, because there is not a number n which added to its sum of digits gives 126839440.

It is not an unprimeable number, because it can be changed into a prime (126839443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968175 + ... + 968305.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^126839440 is an apocalyptic number.

126839440 is a gapful number since it is divisible by the number (10) 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 126839440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

126839440 is an abundant number, since it is smaller than the sum of its proper divisors (265010480).

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

126839440 is a wasteful number, since it uses less digits than its factorization.

126839440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 126839440 is about 11262.3017185653. The cubic root of 126839440 is about 502.4406537011.

The spelling of 126839440 in words is "one hundred twenty-six million, eight hundred thirty-nine thousand, four hundred forty".