126602400 has 288 divisors, whose sum is σ = 455595840. Its totient is φ = 30392320.

The previous prime is 126602381. The next prime is 126602401. The reversal of 126602400 is 4206621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126602401) 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 47 ways as a sum of consecutive naturals, for example, 1183147 + ... + 1183253.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 2^126602400 is an apocalyptic number.

126602400 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 126602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227797920).

126602400 is an abundant number, since it is smaller than the sum of its proper divisors (328993440).

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

126602400 is a wasteful number, since it uses less digits than its factorization.

126602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 126602400 is about 11251.7731935904. The cubic root of 126602400 is about 502.1274682521.

The spelling of 126602400 in words is "one hundred twenty-six million, six hundred two thousand, four hundred".