126261648 has 30 divisors (see below), whose sum is σ = 353357654. Its totient is φ = 42087168.

The previous prime is 126261647. The next prime is 126261661. The reversal of 126261648 is 846162621.

126261648 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 6 + 1 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 18766224 = 10368^2 + 4332^2 .

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 not an unprimeable number, because it can be changed into a prime (126261647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438265 + ... + 438552.

Almost surely, 2^126261648 is an apocalyptic number.

126261648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126261648 is an abundant number, since it is smaller than the sum of its proper divisors (227096006).

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

126261648 is a wasteful number, since it uses less digits than its factorization.

126261648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876831 (or 876822 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 126261648 is about 11236.6208443642. The cubic root of 126261648 is about 501.6765692807.

The spelling of 126261648 in words is "one hundred twenty-six million, two hundred sixty-one thousand, six hundred forty-eight".