126003840 has 256 divisors, whose sum is σ = 434764800. Its totient is φ = 30965760.

The previous prime is 126003817. The next prime is 126003859. The reversal of 126003840 is 48300621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126003840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1726044 + ... + 1726116.

It is an arithmetic number, because the mean of its divisors is an integer number (1698300).

Almost surely, 2^126003840 is an apocalyptic number.

126003840 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 126003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217382400).

126003840 is an abundant number, since it is smaller than the sum of its proper divisors (308760960).

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

126003840 is a wasteful number, since it uses less digits than its factorization.

126003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 126003840 is about 11225.1432062135. The cubic root of 126003840 is about 501.3348863188.

It can be divided in two parts, 1260038 and 40, that added together give a triangular number (1260078 = T₁₅₈₇).

The spelling of 126003840 in words is "one hundred twenty-six million, three thousand, eight hundred forty".