126285440 has 64 divisors (see below), whose sum is σ = 310118760. Its totient is φ = 49139712.

The previous prime is 126285409. The next prime is 126285461. The reversal of 126285440 is 44582621.

It can be written as a sum of positive squares in 4 ways, for example, as 124188736 + 2096704 = 11144^2 + 1448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 126285397 and 126285406.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21014 + ... + 26346.

Almost surely, 2^126285440 is an apocalyptic number.

126285440 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 126285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155059380).

126285440 is an abundant number, since it is smaller than the sum of its proper divisors (183833320).

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

126285440 is an equidigital number, since it uses as much as digits as its factorization.

126285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 126285440 is about 11237.6794757637. The cubic root of 126285440 is about 501.7080782926.

The spelling of 126285440 in words is "one hundred twenty-six million, two hundred eighty-five thousand, four hundred forty".