126958944 has 48 divisors (see below), whose sum is σ = 380878848. Its totient is φ = 36273792.

The previous prime is 126958913. The next prime is 126958987. The reversal of 126958944 is 449859621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×126958944² = 32237146923190272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 126958893 and 126958902.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 93792 + ... + 95135.

It is an arithmetic number, because the mean of its divisors is an integer number (7934976).

Almost surely, 2^126958944 is an apocalyptic number.

126958944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126958944 is an abundant number, since it is smaller than the sum of its proper divisors (253919904).

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

126958944 is a wasteful number, since it uses less digits than its factorization.

126958944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188947 (or 188939 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 126958944 is about 11267.6059569014. The cubic root of 126958944 is about 502.5983985915.

The spelling of 126958944 in words is "one hundred twenty-six million, nine hundred fifty-eight thousand, nine hundred forty-four".