126605984 has 72 divisors (see below), whose sum is σ = 270254880. Its totient is φ = 58270080.

The previous prime is 126605981. The next prime is 126606001. The reversal of 126605984 is 489506621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126605981) 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, 707207 + ... + 707385.

It is an arithmetic number, because the mean of its divisors is an integer number (3753540).

Almost surely, 2^126605984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126605984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135127440).

126605984 is an abundant number, since it is smaller than the sum of its proper divisors (143648896).

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

126605984 is a wasteful number, since it uses less digits than its factorization.

126605984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 126605984 is about 11251.9324562495. The cubic root of 126605984 is about 502.1322064663.

The spelling of 126605984 in words is "one hundred twenty-six million, six hundred five thousand, nine hundred eighty-four".