126344640 has 112 divisors (see below), whose sum is σ = 412101792. Its totient is φ = 32772096.

The previous prime is 126344627. The next prime is 126344689. The reversal of 126344640 is 46443621.

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 = 126344598 and 126344607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33742 + ... + 37298.

Almost surely, 2^126344640 is an apocalyptic number.

126344640 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 126344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206050896).

126344640 is an abundant number, since it is smaller than the sum of its proper divisors (285757152).

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

126344640 is a wasteful number, since it uses less digits than its factorization.

126344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 126344640 is about 11240.3131628972. The cubic root of 126344640 is about 501.7864628326.

The spelling of 126344640 in words is "one hundred twenty-six million, three hundred forty-four thousand, six hundred forty".