126601596 has 96 divisors (see below), whose sum is σ = 364143360. Its totient is φ = 37713600.

The previous prime is 126601583. The next prime is 126601603. The reversal of 126601596 is 695106621.

126601596 is a `hidden beast` number, since 1 + 2 + 6 + 60 + 1 + 596 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126601596.

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, 71595 + ... + 73341.

It is an arithmetic number, because the mean of its divisors is an integer number (3793160).

Almost surely, 2^126601596 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 126601596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182071680).

126601596 is an abundant number, since it is smaller than the sum of its proper divisors (237541764).

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

126601596 is a wasteful number, since it uses less digits than its factorization.

126601596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 126601596 is about 11251.7374658317. The cubic root of 126601596 is about 502.1264053145.

The spelling of 126601596 in words is "one hundred twenty-six million, six hundred one thousand, five hundred ninety-six".