126304164 has 144 divisors (see below), whose sum is σ = 394531200. Its totient is φ = 34800192.

The previous prime is 126304163. The next prime is 126304177. The reversal of 126304164 is 461403621.

126304164 is a `hidden beast` number, since 12 + 630 + 4 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (126304163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153057 + ... + 153879.

It is an arithmetic number, because the mean of its divisors is an integer number (2739800).

Almost surely, 2^126304164 is an apocalyptic number.

126304164 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 126304164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197265600).

126304164 is an abundant number, since it is smaller than the sum of its proper divisors (268227036).

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

126304164 is a wasteful number, since it uses less digits than its factorization.

126304164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126304164 is about 11238.5125350288. The cubic root of 126304164 is about 501.7328726997.

Adding to 126304164 its reverse (461403621), we get a palindrome (587707785).

The spelling of 126304164 in words is "one hundred twenty-six million, three hundred four thousand, one hundred sixty-four".