126079740 has 120 divisors (see below), whose sum is σ = 398428800. Its totient is φ = 33374592.

The previous prime is 126079703. The next prime is 126079747. The reversal of 126079740 is 47970621.

It is a happy number.

126079740 is a `hidden beast` number, since 1 + 2 + 607 + 9 + 7 + 40 = 666.

It is a super-3 number, since 3×126079740³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 126079695 and 126079704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126079747) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 361086 + ... + 361434.

It is an arithmetic number, because the mean of its divisors is an integer number (3320240).

Almost surely, 2^126079740 is an apocalyptic number.

126079740 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 126079740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199214400).

126079740 is an abundant number, since it is smaller than the sum of its proper divisors (272349060).

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

126079740 is a wasteful number, since it uses less digits than its factorization.

126079740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 126079740 is about 11228.5235004430. The cubic root of 126079740 is about 501.4355279082.

It can be divided in two parts, 1260 and 79740, that multiplied together give a triangular number (100472400 = T₁₄₁₇₅).

The spelling of 126079740 in words is "one hundred twenty-six million, seventy-nine thousand, seven hundred forty".