126424410 has 96 divisors (see below), whose sum is σ = 373792320. Its totient is φ = 27191808.

The previous prime is 126424387. The next prime is 126424439. The reversal of 126424410 is 14424621.

It is a happy 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, 22461 + ... + 27519.

It is an arithmetic number, because the mean of its divisors is an integer number (3893670).

Almost surely, 2^126424410 is an apocalyptic number.

126424410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126424410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186896160).

126424410 is an abundant number, since it is smaller than the sum of its proper divisors (247367910).

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

126424410 is a wasteful number, since it uses less digits than its factorization.

126424410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 126424410 is about 11243.8609916701. The cubic root of 126424410 is about 501.8920446366.

The spelling of 126424410 in words is "one hundred twenty-six million, four hundred twenty-four thousand, four hundred ten".