126636664 has 64 divisors (see below), whose sum is σ = 298656000. Its totient is φ = 49309920.

The previous prime is 126636661. The next prime is 126636667. The reversal of 126636664 is 466636621.

It is an interprime number because it is at equal distance from previous prime (126636661) and next prime (126636667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126636661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73687 + ... + 75385.

It is an arithmetic number, because the mean of its divisors is an integer number (4666500).

Almost surely, 2^126636664 is an apocalyptic number.

126636664 is a gapful number since it is divisible by the number (14) 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 126636664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149328000).

126636664 is an abundant number, since it is smaller than the sum of its proper divisors (172019336).

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

126636664 is a wasteful number, since it uses less digits than its factorization.

126636664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1719 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The square root of 126636664 is about 11253.2956950397. The cubic root of 126636664 is about 502.1727631904.

The spelling of 126636664 in words is "one hundred twenty-six million, six hundred thirty-six thousand, six hundred sixty-four".