126587160 has 192 divisors, whose sum is σ = 474439680. Its totient is φ = 28673280.

The previous prime is 126587159. The next prime is 126587171. The reversal of 126587160 is 61785621.

126587160 is a `hidden beast` number, since 12 + 6 + 587 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481189 + ... + 481451.

It is an arithmetic number, because the mean of its divisors is an integer number (2471040).

Almost surely, 2^126587160 is an apocalyptic number.

126587160 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 126587160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237219840).

126587160 is an abundant number, since it is smaller than the sum of its proper divisors (347852520).

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

126587160 is a wasteful number, since it uses less digits than its factorization.

126587160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

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

The square root of 126587160 is about 11251.0959466178. The cubic root of 126587160 is about 502.1073192668.

The spelling of 126587160 in words is "one hundred twenty-six million, five hundred eighty-seven thousand, one hundred sixty".