126754560 has 108 divisors (see below), whose sum is σ = 438597432. Its totient is φ = 33798144.

The previous prime is 126754501. The next prime is 126754561. The reversal of 126754560 is 65457621.

It is a happy number.

126754560 is a `hidden beast` number, since 1 + 26 + 75 + 4 + 560 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126754561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6019 + ... + 17021.

Almost surely, 2^126754560 is an apocalyptic number.

126754560 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 126754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219298716).

126754560 is an abundant number, since it is smaller than the sum of its proper divisors (311842872).

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

126754560 is a wasteful number, since it uses less digits than its factorization.

126754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11030 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 126754560 is about 11258.5327640861. The cubic root of 126754560 is about 502.3285521884.

The spelling of 126754560 in words is "one hundred twenty-six million, seven hundred fifty-four thousand, five hundred sixty".