126910560 has 192 divisors, whose sum is σ = 462454272. Its totient is φ = 28655616.

The previous prime is 126910549. The next prime is 126910613. The reversal of 126910560 is 65019621.

It is a super-2 number, since 2×126910560² = 32212580479027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 359344 + ... + 359696.

It is an arithmetic number, because the mean of its divisors is an integer number (2408616).

Almost surely, 2^126910560 is an apocalyptic number.

126910560 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 126910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231227136).

126910560 is an abundant number, since it is smaller than the sum of its proper divisors (335543712).

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

126910560 is a wasteful number, since it uses less digits than its factorization.

126910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 126910560 is about 11265.4587123650. The cubic root of 126910560 is about 502.5345437999.

The spelling of 126910560 in words is "one hundred twenty-six million, nine hundred ten thousand, five hundred sixty".