126627840 has 208 divisors, whose sum is σ = 452143200. Its totient is φ = 33619968.

The previous prime is 126627829. The next prime is 126627847. The reversal of 126627840 is 48726621.

126627840 is a `hidden beast` number, since 1 + 26 + 627 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 126627795 and 126627804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126627847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552846 + ... + 553074.

Almost surely, 2^126627840 is an apocalyptic number.

126627840 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 126627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226071600).

126627840 is an abundant number, since it is smaller than the sum of its proper divisors (325515360).

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

126627840 is an equidigital number, since it uses as much as digits as its factorization.

126627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126627840 is about 11252.9036252871. The cubic root of 126627840 is about 502.1610991766.

It can be divided in two parts, 12662 and 7840, that added together give a palindrome (20502).

The spelling of 126627840 in words is "one hundred twenty-six million, six hundred twenty-seven thousand, eight hundred forty".