126605664 has 144 divisors (see below), whose sum is σ = 401572080. Its totient is φ = 37601280.

The previous prime is 126605659. The next prime is 126605669. The reversal of 126605664 is 466506621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126605659) and next prime (126605669).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126605669) 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, 92344 + ... + 93704.

It is an arithmetic number, because the mean of its divisors is an integer number (2788695).

Almost surely, 2^126605664 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 126605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200786040).

126605664 is an abundant number, since it is smaller than the sum of its proper divisors (274966416).

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

126605664 is a wasteful number, since it uses less digits than its factorization.

126605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 126605664 is about 11251.9182364608. The cubic root of 126605664 is about 502.1317834151.

The spelling of 126605664 in words is "one hundred twenty-six million, six hundred five thousand, six hundred sixty-four".