126016400 has 60 divisors (see below), whose sum is σ = 309242112. Its totient is φ = 49326720.

The previous prime is 126016399. The next prime is 126016403. The reversal of 126016400 is 4610621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126016403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15449 + ... + 22151.

Almost surely, 2^126016400 is an apocalyptic number.

126016400 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 126016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154621056).

126016400 is an abundant number, since it is smaller than the sum of its proper divisors (183225712).

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

126016400 is a wasteful number, since it uses less digits than its factorization.

126016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 126016400 is about 11225.7026506139. The cubic root of 126016400 is about 501.3515433693.

The spelling of 126016400 in words is "one hundred twenty-six million, sixteen thousand, four hundred".