126606304 has 48 divisors (see below), whose sum is σ = 279293616. Its totient is φ = 55987200.

The previous prime is 126606301. The next prime is 126606307. The reversal of 126606304 is 403606621.

It is an interprime number because it is at equal distance from previous prime (126606301) and next prime (126606307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126606301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8164 + ... + 17884.

It is an arithmetic number, because the mean of its divisors is an integer number (5818617).

Almost surely, 2^126606304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126606304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139646808).

126606304 is an abundant number, since it is smaller than the sum of its proper divisors (152687312).

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

126606304 is a wasteful number, since it uses less digits than its factorization.

126606304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 126606304 is about 11251.9466760201. The cubic root of 126606304 is about 502.1326295168.

The spelling of 126606304 in words is "one hundred twenty-six million, six hundred six thousand, three hundred four".