126353664 has 108 divisors (see below), whose sum is σ = 367570476. Its totient is φ = 41742336.

The previous prime is 126353663. The next prime is 126353671. The reversal of 126353664 is 466353621.

126353664 is a `hidden beast` number, since 1 + 2 + 63 + 536 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58982400 + 67371264 = 7680^2 + 8208^2 .

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 (126353663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398434 + ... + 398750.

Almost surely, 2^126353664 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 126353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183785238).

126353664 is an abundant number, since it is smaller than the sum of its proper divisors (241216812).

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

126353664 is a wasteful number, since it uses less digits than its factorization.

126353664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 126353664 is about 11240.7145680335. The cubic root of 126353664 is about 501.7984090279.

The spelling of 126353664 in words is "one hundred twenty-six million, three hundred fifty-three thousand, six hundred sixty-four".