126627120 has 120 divisors (see below), whose sum is σ = 427289616. Its totient is φ = 33606144.

The previous prime is 126627103. The next prime is 126627133. The reversal of 126627120 is 21726621.

126627120 is a `hidden beast` number, since 1 + 26 + 627 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285619 + ... + 286061.

Almost surely, 2^126627120 is an apocalyptic number.

126627120 is a gapful number since it is divisible by the number (10) 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 126627120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213644808).

126627120 is an abundant number, since it is smaller than the sum of its proper divisors (300662496).

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

126627120 is a wasteful number, since it uses less digits than its factorization.

126627120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126627120 is about 11252.8716334987. The cubic root of 126627120 is about 502.1601474199.

The spelling of 126627120 in words is "one hundred twenty-six million, six hundred twenty-seven thousand, one hundred twenty".