126406764 has 144 divisors (see below), whose sum is σ = 382082400. Its totient is φ = 35988480.

The previous prime is 126406751. The next prime is 126406769. The reversal of 126406764 is 467604621.

126406764 is a `hidden beast` number, since 1 + 2 + 640 + 6 + 7 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (126406769) 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, 221872 + ... + 222440.

It is an arithmetic number, because the mean of its divisors is an integer number (2653350).

Almost surely, 2^126406764 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 126406764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191041200).

126406764 is an abundant number, since it is smaller than the sum of its proper divisors (255675636).

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

126406764 is a wasteful number, since it uses less digits than its factorization.

126406764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 126406764 is about 11243.0762694202. The cubic root of 126406764 is about 501.8686926085.

The spelling of 126406764 in words is "one hundred twenty-six million, four hundred six thousand, seven hundred sixty-four".