126007632 has 60 divisors (see below), whose sum is σ = 353401984. Its totient is φ = 41912640.

The previous prime is 126007631. The next prime is 126007633. The reversal of 126007632 is 236700621.

It is a happy number.

126007632 is a `hidden beast` number, since 1 + 26 + 0 + 0 + 7 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (126007631) and next prime (126007633).

It is a junction number, because it is equal to n+sod(n) for n = 126007596 and 126007605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126007631) 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, 126657 + ... + 127647.

Almost surely, 2^126007632 is an apocalyptic number.

126007632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126007632 is an abundant number, since it is smaller than the sum of its proper divisors (227394352).

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

126007632 is a wasteful number, since it uses less digits than its factorization.

126007632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 126007632 is about 11225.3121114738. The cubic root of 126007632 is about 501.3399153794.

The spelling of 126007632 in words is "one hundred twenty-six million, seven thousand, six hundred thirty-two".