126715680 has 288 divisors, whose sum is σ = 532756224. Its totient is φ = 26707968.

The previous prime is 126715679. The next prime is 126715681. The reversal of 126715680 is 86517621.

126715680 is a `hidden beast` number, since 1 + 26 + 71 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126715679) and next prime (126715681).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126715681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130557 + ... + 131523.

It is an arithmetic number, because the mean of its divisors is an integer number (1849848).

Almost surely, 2^126715680 is an apocalyptic number.

126715680 is a gapful number since it is divisible by the number (10) 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 126715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266378112).

126715680 is an abundant number, since it is smaller than the sum of its proper divisors (406040544).

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

126715680 is a wasteful number, since it uses less digits than its factorization.

126715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 126715680 is about 11256.8059412961. The cubic root of 126715680 is about 502.2771864325.

It can be divided in two parts, 126 and 715680, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 126715680 in words is "one hundred twenty-six million, seven hundred fifteen thousand, six hundred eighty".