126982656 has 120 divisors (see below), whose sum is σ = 388277604. Its totient is φ = 39813120.

The previous prime is 126982651. The next prime is 126982693. The reversal of 126982656 is 656289621.

It can be written as a sum of positive squares in 2 ways, for example, as 116640000 + 10342656 = 10800^2 + 3216^2 .

It is a super-2 number, since 2×126982656² = 32249189849628672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126982651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77526 + ... + 79146.

Almost surely, 2^126982656 is an apocalyptic number.

126982656 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 126982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194138802).

126982656 is an abundant number, since it is smaller than the sum of its proper divisors (261294948).

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

126982656 is a wasteful number, since it uses less digits than its factorization.

126982656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1643 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 126982656 is about 11268.6581277453. The cubic root of 126982656 is about 502.6296865837.

The spelling of 126982656 in words is "one hundred twenty-six million, nine hundred eighty-two thousand, six hundred fifty-six".