126577440 has 288 divisors, whose sum is σ = 482594112. Its totient is φ = 29952000.

The previous prime is 126577417. The next prime is 126577499. The reversal of 126577440 is 44775621.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126577395 and 126577404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966175 + ... + 966305.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674).

Almost surely, 2^126577440 is an apocalyptic number.

126577440 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 126577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056).

126577440 is an abundant number, since it is smaller than the sum of its proper divisors (356016672).

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

126577440 is a wasteful number, since it uses less digits than its factorization.

126577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 126577440 is about 11250.6639804058. The cubic root of 126577440 is about 502.0944674945.

The spelling of 126577440 in words is "one hundred twenty-six million, five hundred seventy-seven thousand, four hundred forty".