126820608 has 72 divisors (see below), whose sum is σ = 346727808. Its totient is φ = 41121792.

The previous prime is 126820607. The next prime is 126820609. The reversal of 126820608 is 806028621.

It is an interprime number because it is at equal distance from previous prime (126820607) and next prime (126820609).

It is a super-2 number, since 2×126820608² = 32166933226979328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126820607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26185 + ... + 30647.

It is an arithmetic number, because the mean of its divisors is an integer number (4815664).

Almost surely, 2^126820608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173363904).

126820608 is an abundant number, since it is smaller than the sum of its proper divisors (219907200).

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

126820608 is an equidigital number, since it uses as much as digits as its factorization.

126820608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 126820608 is about 11261.4656239763. The cubic root of 126820608 is about 502.4157864865.

The spelling of 126820608 in words is "one hundred twenty-six million, eight hundred twenty thousand, six hundred eight".