126283040 has 96 divisors (see below), whose sum is σ = 324822960. Its totient is φ = 46116864.

The previous prime is 126283033. The next prime is 126283049. The reversal of 126283040 is 40382621.

It can be written as a sum of positive squares in 8 ways, for example, as 17205904 + 109077136 = 4148^2 + 10444^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (126283049) 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, 226442 + ... + 226998.

Almost surely, 2^126283040 is an apocalyptic number.

126283040 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 126283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162411480).

126283040 is an abundant number, since it is smaller than the sum of its proper divisors (198539920).

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

126283040 is a wasteful number, since it uses less digits than its factorization.

126283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 126283040 is about 11237.5726916448. The cubic root of 126283040 is about 501.7049000243.

The spelling of 126283040 in words is "one hundred twenty-six million, two hundred eighty-three thousand, forty".