126127620 has 72 divisors (see below), whose sum is σ = 386358336. Its totient is φ = 33302592.

The previous prime is 126127613. The next prime is 126127621. The reversal of 126127620 is 26721621.

126127620 is a `hidden beast` number, since 1 + 26 + 12 + 7 + 620 = 666.

It is not an unprimeable number, because it can be changed into a prime (126127621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15139 + ... + 21941.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088).

Almost surely, 2^126127620 is an apocalyptic number.

126127620 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 126127620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193179168).

126127620 is an abundant number, since it is smaller than the sum of its proper divisors (260230716).

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

126127620 is a wasteful number, since it uses less digits than its factorization.

126127620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6921 (or 6916 counting only the distinct ones).

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

The square root of 126127620 is about 11230.6553682321. The cubic root of 126127620 is about 501.4989948711.

The spelling of 126127620 in words is "one hundred twenty-six million, one hundred twenty-seven thousand, six hundred twenty".