126096240 has 80 divisors (see below), whose sum is σ = 393287328. Its totient is φ = 33420288.

The previous prime is 126096233. The next prime is 126096247. The reversal of 126096240 is 42690621.

It is an interprime number because it is at equal distance from previous prime (126096233) and next prime (126096247).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 126096198 and 126096207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126096247) 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, 40002 + ... + 43038.

Almost surely, 2^126096240 is an apocalyptic number.

126096240 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 126096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196643664).

126096240 is an abundant number, since it is smaller than the sum of its proper divisors (267191088).

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

126096240 is a wasteful number, since it uses less digits than its factorization.

126096240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 126096240 is about 11229.2582123665. The cubic root of 126096240 is about 501.4574011696.

The spelling of 126096240 in words is "one hundred twenty-six million, ninety-six thousand, two hundred forty".