126771240 has 64 divisors (see below), whose sum is σ = 384269760. Its totient is φ = 33454080.

The previous prime is 126771233. The next prime is 126771247. The reversal of 126771240 is 42177621.

It is an interprime number because it is at equal distance from previous prime (126771233) and next prime (126771247).

It is a super-2 number, since 2×126771240² = 32141894582275200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 126771198 and 126771207.

It is not an unprimeable number, because it can be changed into a prime (126771247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6195 + ... + 17085.

It is an arithmetic number, because the mean of its divisors is an integer number (6004215).

Almost surely, 2^126771240 is an apocalyptic number.

126771240 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 126771240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192134880).

126771240 is an abundant number, since it is smaller than the sum of its proper divisors (257498520).

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

126771240 is a wasteful number, since it uses less digits than its factorization.

126771240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11002 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 126771240 is about 11259.2735111996. The cubic root of 126771240 is about 502.3505855121.

The spelling of 126771240 in words is "one hundred twenty-six million, seven hundred seventy-one thousand, two hundred forty".