126058680 has 256 divisors, whose sum is σ = 467596800. Its totient is φ = 30326400.

The previous prime is 126058661. The next prime is 126058687. The reversal of 126058680 is 86850621.

It is a happy number.

126058680 is a `hidden beast` number, since 12 + 60 + 586 + 8 + 0 = 666.

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 (126058687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962215 + ... + 962345.

It is an arithmetic number, because the mean of its divisors is an integer number (1826550).

Almost surely, 2^126058680 is an apocalyptic number.

126058680 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 126058680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233798400).

126058680 is an abundant number, since it is smaller than the sum of its proper divisors (341538120).

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

126058680 is a wasteful number, since it uses less digits than its factorization.

126058680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 126058680 is about 11227.5856710158. The cubic root of 126058680 is about 501.4076069003.

The spelling of 126058680 in words is "one hundred twenty-six million, fifty-eight thousand, six hundred eighty".