126971440 has 40 divisors (see below), whose sum is σ = 301498560. Its totient is φ = 49706496.

The previous prime is 126971423. The next prime is 126971441. The reversal of 126971440 is 44179621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×126971440² = 32243493151347200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126971396 and 126971405.

It is not an unprimeable number, because it can be changed into a prime (126971441) 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 7 ways as a sum of consecutive naturals, for example, 13125 + ... + 20644.

It is an arithmetic number, because the mean of its divisors is an integer number (7537464).

Almost surely, 2^126971440 is an apocalyptic number.

126971440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126971440 is an abundant number, since it is smaller than the sum of its proper divisors (174527120).

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

126971440 is a wasteful number, since it uses less digits than its factorization.

126971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33829 (or 33823 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 126971440 is about 11268.1604532417. The cubic root of 126971440 is about 502.6148875533.

The spelling of 126971440 in words is "one hundred twenty-six million, nine hundred seventy-one thousand, four hundred forty".