126003640 has 64 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 43072128.

The previous prime is 126003607. The next prime is 126003641. The reversal of 126003640 is 46300621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126003641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 172957 + ... + 173683.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^126003640 is an apocalyptic number.

126003640 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 126003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

126003640 is an abundant number, since it is smaller than the sum of its proper divisors (198975560).

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

126003640 is a wasteful number, since it uses less digits than its factorization.

126003640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 126003640 is about 11225.1342976376. The cubic root of 126003640 is about 501.3346210702.

The spelling of 126003640 in words is "one hundred twenty-six million, three thousand, six hundred forty".