126263040 has 144 divisors (see below), whose sum is σ = 407949696. Its totient is φ = 33280000.

The previous prime is 126263023. The next prime is 126263051. The reversal of 126263040 is 40362621.

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 126263040.

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, 502915 + ... + 503165.

It is an arithmetic number, because the mean of its divisors is an integer number (2832984).

Almost surely, 2^126263040 is an apocalyptic number.

126263040 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 126263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203974848).

126263040 is an abundant number, since it is smaller than the sum of its proper divisors (281686656).

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

126263040 is a wasteful number, since it uses less digits than its factorization.

126263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 126263040 is about 11236.6827845232. The cubic root of 126263040 is about 501.6784128894.

The spelling of 126263040 in words is "one hundred twenty-six million, two hundred sixty-three thousand, forty".