126061632 has 42 divisors (see below), whose sum is σ = 361334558. Its totient is φ = 42020352.

The previous prime is 126061631. The next prime is 126061667. The reversal of 126061632 is 236160621.

126061632 is a `hidden beast` number, since 1 + 26 + 0 + 6 + 1 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102090816 + 23970816 = 10104^2 + 4896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126061596 and 126061605.

It is not an unprimeable number, because it can be changed into a prime (126061631) 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, 108853 + ... + 110004.

Almost surely, 2^126061632 is an apocalyptic number.

126061632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126061632 is an abundant number, since it is smaller than the sum of its proper divisors (235272926).

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

126061632 is a wasteful number, since it uses less digits than its factorization.

126061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218875 (or 218862 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 126061632 is about 11227.7171321689. The cubic root of 126061632 is about 501.4115208017.

The spelling of 126061632 in words is "one hundred twenty-six million, sixty-one thousand, six hundred thirty-two".