126784560 has 120 divisors (see below), whose sum is σ = 457243056. Its totient is φ = 28976640.

The previous prime is 126784543. The next prime is 126784561. The reversal of 126784560 is 65487621.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×126784560³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (126784561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6370 + ... + 17150.

Almost surely, 2^126784560 is an apocalyptic number.

126784560 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 126784560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228621528).

126784560 is an abundant number, since it is smaller than the sum of its proper divisors (330458496).

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

126784560 is a wasteful number, since it uses less digits than its factorization.

126784560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10811 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 126784560 is about 11259.8650080718. The cubic root of 126784560 is about 502.3681790805.

The spelling of 126784560 in words is "one hundred twenty-six million, seven hundred eighty-four thousand, five hundred sixty".