126577836 has 192 divisors, whose sum is σ = 423198720. Its totient is φ = 31752000.

The previous prime is 126577831. The next prime is 126577849. The reversal of 126577836 is 638775621.

It is a junction number, because it is equal to n+sod(n) for n = 126577791 and 126577800.

It is not an unprimeable number, because it can be changed into a prime (126577831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257551 + ... + 258041.

It is an arithmetic number, because the mean of its divisors is an integer number (2204160).

Almost surely, 2^126577836 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 126577836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211599360).

126577836 is an abundant number, since it is smaller than the sum of its proper divisors (296620884).

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

126577836 is a wasteful number, since it uses less digits than its factorization.

126577836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 126577836 is about 11250.6815793533. The cubic root of 126577836 is about 502.0949910981.

The spelling of 126577836 in words is "one hundred twenty-six million, five hundred seventy-seven thousand, eight hundred thirty-six".