126332406 has 64 divisors (see below), whose sum is σ = 312940800. Its totient is φ = 37542528.

The previous prime is 126332383. The next prime is 126332407. The reversal of 126332406 is 604233621.

126332406 is a `hidden beast` number, since 1 + 2 + 633 + 24 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 126332406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126332407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13821 + ... + 21063.

It is an arithmetic number, because the mean of its divisors is an integer number (4889700).

Almost surely, 2^126332406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126332406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156470400).

126332406 is an abundant number, since it is smaller than the sum of its proper divisors (186608394).

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

126332406 is a wasteful number, since it uses less digits than its factorization.

126332406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7284 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 126332406 is about 11239.7689478032. The cubic root of 126332406 is about 501.7702662512.

The spelling of 126332406 in words is "one hundred twenty-six million, three hundred thirty-two thousand, four hundred six".