126688820 has 48 divisors (see below), whose sum is σ = 277799760. Its totient is φ = 48470016.

The previous prime is 126688781. The next prime is 126688823. The reversal of 126688820 is 28886621.

It can be written as a sum of positive squares in 8 ways, for example, as 10523536 + 116165284 = 3244^2 + 10778^2 .

It is a super-2 number, since 2×126688820² = 32100114225984800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126688823) 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, 64574 + ... + 66506.

It is an arithmetic number, because the mean of its divisors is an integer number (5787495).

Almost surely, 2^126688820 is an apocalyptic number.

126688820 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 126688820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138899880).

126688820 is an abundant number, since it is smaller than the sum of its proper divisors (151110940).

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

126688820 is a wasteful number, since it uses less digits than its factorization.

126688820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 126688820 is about 11255.6128220546. The cubic root of 126688820 is about 502.2416945908.

The spelling of 126688820 in words is "one hundred twenty-six million, six hundred eighty-eight thousand, eight hundred twenty".