126710976 has 112 divisors (see below), whose sum is σ = 396483840. Its totient is φ = 34944000.

The previous prime is 126710963. The next prime is 126710999. The reversal of 126710976 is 679017621.

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

It is a super-3 number, since 3×126710976³ (a number of 25 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 37351 + ... + 40601.

Almost surely, 2^126710976 is an apocalyptic number.

126710976 is a gapful number since it is divisible by the number (16) 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 126710976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198241920).

126710976 is an abundant number, since it is smaller than the sum of its proper divisors (269772864).

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

126710976 is a wasteful number, since it uses less digits than its factorization.

126710976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 126710976 is about 11256.5969990935. The cubic root of 126710976 is about 502.2709710977.

The spelling of 126710976 in words is "one hundred twenty-six million, seven hundred ten thousand, nine hundred seventy-six".