126664164 has 72 divisors (see below), whose sum is σ = 350532000. Its totient is φ = 38246400.

The previous prime is 126664099. The next prime is 126664169. The reversal of 126664164 is 461466621.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (126664169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197284 + ... + 197924.

It is an arithmetic number, because the mean of its divisors is an integer number (4868500).

Almost surely, 2^126664164 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 126664164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175266000).

126664164 is an abundant number, since it is smaller than the sum of its proper divisors (223867836).

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

126664164 is a wasteful number, since it uses less digits than its factorization.

126664164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 126664164 is about 11254.5174929892. The cubic root of 126664164 is about 502.2091106194.

The spelling of 126664164 in words is "one hundred twenty-six million, six hundred sixty-four thousand, one hundred sixty-four".