126476560 has 80 divisors (see below), whose sum is σ = 340906752. Its totient is φ = 42739200.

The previous prime is 126476507. The next prime is 126476573. The reversal of 126476560 is 65674621.

It is a happy number.

126476560 is a nontrivial binomial coefficient, being equal to C(15905, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38170 + ... + 41350.

Almost surely, 2^126476560 is an apocalyptic number.

126476560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126476560 is the 15904-th triangular number.

126476560 is the 5302-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170453376).

126476560 is an abundant number, since it is smaller than the sum of its proper divisors (214430192).

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

126476560 is a wasteful number, since it uses less digits than its factorization.

126476560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 126476560 is about 11246.1797958240. The cubic root of 126476560 is about 501.9610452145.

The spelling of 126476560 in words is "one hundred twenty-six million, four hundred seventy-six thousand, five hundred sixty".