126786240 has 336 divisors, whose sum is σ = 526206720. Its totient is φ = 27371520.

The previous prime is 126786223. The next prime is 126786241. The reversal of 126786240 is 42687621.

126786240 is a `hidden beast` number, since 1 + 26 + 7 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 126786195 and 126786204.

It is not an unprimeable number, because it can be changed into a prime (126786241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382875 + ... + 383205.

Almost surely, 2^126786240 is an apocalyptic number.

126786240 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 126786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263103360).

126786240 is an abundant number, since it is smaller than the sum of its proper divisors (399420480).

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

126786240 is a wasteful number, since it uses less digits than its factorization.

126786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126786240 is about 11259.9396090743. The cubic root of 126786240 is about 502.3703980016.

The spelling of 126786240 in words is "one hundred twenty-six million, seven hundred eighty-six thousand, two hundred forty".