126566480 has 20 divisors (see below), whose sum is σ = 294267252. Its totient is φ = 50626560.

The previous prime is 126566477. The next prime is 126566497. The reversal of 126566480 is 84665621.

It can be written as a sum of positive squares in 2 ways, for example, as 94167616 + 32398864 = 9704^2 + 5692^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×126566480³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 790961 + ... + 791120.

Almost surely, 2^126566480 is an apocalyptic number.

126566480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126566480 is an abundant number, since it is smaller than the sum of its proper divisors (167700772).

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

126566480 is a wasteful number, since it uses less digits than its factorization.

126566480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582094 (or 1582088 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 126566480 is about 11250.1768874983. The cubic root of 126566480 is about 502.0799754065.

The spelling of 126566480 in words is "one hundred twenty-six million, five hundred sixty-six thousand, four hundred eighty".