126832608 has 192 divisors, whose sum is σ = 430456320. Its totient is φ = 35582976.

The previous prime is 126832591. The next prime is 126832613. The reversal of 126832608 is 806238621.

126832608 is a `hidden beast` number, since 12 + 6 + 8 + 32 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405060 + ... + 405372.

It is an arithmetic number, because the mean of its divisors is an integer number (2241960).

Almost surely, 2^126832608 is an apocalyptic number.

126832608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126832608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215228160).

126832608 is an abundant number, since it is smaller than the sum of its proper divisors (303623712).

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

126832608 is a wasteful number, since it uses less digits than its factorization.

126832608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

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

The square root of 126832608 is about 11261.9984017047. The cubic root of 126832608 is about 502.4316324897.

Adding to 126832608 its sum of digits (36), we get a square (126832644 = 11262²).

The spelling of 126832608 in words is "one hundred twenty-six million, eight hundred thirty-two thousand, six hundred eight".