126690304 has 88 divisors (see below), whose sum is σ = 282453248. Its totient is φ = 56401920.

The previous prime is 126690301. The next prime is 126690329. The reversal of 126690304 is 403096621.

It is a super-3 number, since 3×126690304³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (126690301) 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, 412519 + ... + 412825.

It is an arithmetic number, because the mean of its divisors is an integer number (3209696).

Almost surely, 2^126690304 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 126690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141226624).

126690304 is an abundant number, since it is smaller than the sum of its proper divisors (155762944).

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

126690304 is a wasteful number, since it uses less digits than its factorization.

126690304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 126690304 is about 11255.6787445271. The cubic root of 126690304 is about 502.2436556261.

The spelling of 126690304 in words is "one hundred twenty-six million, six hundred ninety thousand, three hundred four".