126956448 has 36 divisors (see below), whose sum is σ = 361033218. Its totient is φ = 42318720.

The previous prime is 126956443. The next prime is 126956471. The reversal of 126956448 is 844659621.

It can be written as a sum of positive squares in only one way, i.e., 116380944 + 10575504 = 10788^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×126956448² = 32235879377553408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126956443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 220123 + ... + 220698.

Almost surely, 2^126956448 is an apocalyptic number.

126956448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126956448 is an abundant number, since it is smaller than the sum of its proper divisors (234076770).

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

126956448 is a wasteful number, since it uses less digits than its factorization.

126956448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440837 (or 440826 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 126956448 is about 11267.4951963602. The cubic root of 126956448 is about 502.5951048920.

The spelling of 126956448 in words is "one hundred twenty-six million, nine hundred fifty-six thousand, four hundred forty-eight".