126292644 has 27 divisors (see below), whose sum is σ = 319410273. Its totient is φ = 42075072.

The previous prime is 126292637. The next prime is 126292679. The reversal of 126292644 is 446292621.

The square root of 126292644 is 11238.

It is a perfect power (a square), and thus also a powerful number.

126292644 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 9 + 2 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3348900 + 122943744 = 1830^2 + 11088^2 .

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 a junction number, because it is equal to n+sod(n) for n = 126292599 and 126292608.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66492 + ... + 68364.

Almost surely, 2^126292644 is an apocalyptic number.

126292644 is the 11238-th square number.

It is an amenable number.

126292644 is an abundant number, since it is smaller than the sum of its proper divisors (193117629).

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

126292644 is an equidigital number, since it uses as much as digits as its factorization.

126292644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 1878 counting only the distinct ones).

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

The cubic root of 126292644 is about 501.7176181526.

Multiplying 126292644 by its sum of digits (36), we get a square (4546535184 = 67428²).

126292644 divided by its sum of digits (36) gives a square (3508129 = 1873²).

The spelling of 126292644 in words is "one hundred twenty-six million, two hundred ninety-two thousand, six hundred forty-four".