126768820 has 24 divisors (see below), whose sum is σ = 266671944. Its totient is φ = 50620416.

The previous prime is 126768793. The next prime is 126768821. The reversal of 126768820 is 28867621.

It can be written as a sum of positive squares in 4 ways, for example, as 2178576 + 124590244 = 1476^2 + 11162^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126768821) 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, 7204 + ... + 17476.

It is an arithmetic number, because the mean of its divisors is an integer number (11111331).

Almost surely, 2^126768820 is an apocalyptic number.

126768820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126768820 is an abundant number, since it is smaller than the sum of its proper divisors (139903124).

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

126768820 is a wasteful number, since it uses less digits than its factorization.

126768820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10899 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 126768820 is about 11259.1660437174. The cubic root of 126768820 is about 502.3473889507.

The spelling of 126768820 in words is "one hundred twenty-six million, seven hundred sixty-eight thousand, eight hundred twenty".