126620568 has 96 divisors (see below), whose sum is σ = 352123200. Its totient is φ = 41094144.

The previous prime is 126620563. The next prime is 126620581. The reversal of 126620568 is 865026621.

126620568 is a `hidden beast` number, since 1 + 26 + 620 + 5 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126620563) 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, 642646 + ... + 642842.

It is an arithmetic number, because the mean of its divisors is an integer number (3667950).

Almost surely, 2^126620568 is an apocalyptic number.

126620568 is a gapful number since it is divisible by the number (18) 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 126620568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176061600).

126620568 is an abundant number, since it is smaller than the sum of its proper divisors (225502632).

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

126620568 is a wasteful number, since it uses less digits than its factorization.

126620568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 126620568 is about 11252.5805040444. The cubic root of 126620568 is about 502.1514862683.

The spelling of 126620568 in words is "one hundred twenty-six million, six hundred twenty thousand, five hundred sixty-eight".