126995904 has 112 divisors (see below), whose sum is σ = 426720000. Its totient is φ = 36281088.

The previous prime is 126995881. The next prime is 126995909. The reversal of 126995904 is 409599621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×126995904² = 32255919265554432, which contains 22 as substring.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 126995904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126995909) 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 15 ways as a sum of consecutive naturals, for example, 6847 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (3810000).

Almost surely, 2^126995904 is an apocalyptic number.

126995904 is a gapful number since it is divisible by the number (14) 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 126995904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360000).

126995904 is an abundant number, since it is smaller than the sum of its proper divisors (299724096).

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

126995904 is a wasteful number, since it uses less digits than its factorization.

126995904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 126995904 is about 11269.2459375062. The cubic root of 126995904 is about 502.6471656283.

The spelling of 126995904 in words is "one hundred twenty-six million, nine hundred ninety-five thousand, nine hundred four".