126706440 has 256 divisors, whose sum is σ = 485222400. Its totient is φ = 25767936.

The previous prime is 126706409. The next prime is 126706477. The reversal of 126706440 is 44607621.

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 = 126706398 and 126706407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271087 + ... + 271553.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 2^126706440 is an apocalyptic number.

126706440 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 126706440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242611200).

126706440 is an abundant number, since it is smaller than the sum of its proper divisors (358515960).

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

126706440 is a wasteful number, since it uses less digits than its factorization.

126706440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 126706440 is about 11256.3955154392. The cubic root of 126706440 is about 502.2649775935.

It can be divided in two parts, 12670 and 6440, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 126706440 in words is "one hundred twenty-six million, seven hundred six thousand, four hundred forty".