126678560 has 48 divisors (see below), whose sum is σ = 316889496. Its totient is φ = 47689728.

The previous prime is 126678553. The next prime is 126678569. The reversal of 126678560 is 65876621.

It can be written as a sum of positive squares in 4 ways, for example, as 77510416 + 49168144 = 8804^2 + 7012^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126678569) 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, 20567 + ... + 26006.

Almost surely, 2^126678560 is an apocalyptic number.

126678560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126678560 is an abundant number, since it is smaller than the sum of its proper divisors (190210936).

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

126678560 is a wasteful number, since it uses less digits than its factorization.

126678560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46605 (or 46597 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 126678560 is about 11255.1570402194. The cubic root of 126678560 is about 502.2281360703.

The spelling of 126678560 in words is "one hundred twenty-six million, six hundred seventy-eight thousand, five hundred sixty".