126636312 has 64 divisors (see below), whose sum is σ = 350156160. Its totient is φ = 37843200.

The previous prime is 126636287. The next prime is 126636347. The reversal of 126636312 is 213636621.

It is a super-2 number, since 2×126636312² = 32073511033922688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 126636312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15987 + ... + 22557.

It is an arithmetic number, because the mean of its divisors is an integer number (5471190).

Almost surely, 2^126636312 is an apocalyptic number.

126636312 is a gapful number since it is divisible by the number (12) 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 126636312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175078080).

126636312 is an abundant number, since it is smaller than the sum of its proper divisors (223519848).

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

126636312 is a wasteful number, since it uses less digits than its factorization.

126636312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6660 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 126636312 is about 11253.2800551661. The cubic root of 126636312 is about 502.1722979092.

The spelling of 126636312 in words is "one hundred twenty-six million, six hundred thirty-six thousand, three hundred twelve".