126588672 has 216 divisors, whose sum is σ = 428553216. Its totient is φ = 35186688.

The previous prime is 126588641. The next prime is 126588677. The reversal of 126588672 is 276885621.

126588672 is a `hidden beast` number, since 1 + 2 + 6 + 588 + 67 + 2 = 666.

It is a super-3 number, since 3×126588672³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126588677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757933 + ... + 758099.

Almost surely, 2^126588672 is an apocalyptic number.

126588672 is a gapful number since it is divisible by the number (12) 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 126588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214276608).

126588672 is an abundant number, since it is smaller than the sum of its proper divisors (301964544).

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

126588672 is a wasteful number, since it uses less digits than its factorization.

126588672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 126588672 is about 11251.1631398714. The cubic root of 126588672 is about 502.1093183722.

It can be divided in two parts, 126588 and 672, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 126588672 in words is "one hundred twenty-six million, five hundred eighty-eight thousand, six hundred seventy-two".