126626240 has 112 divisors (see below), whose sum is σ = 330708000. Its totient is φ = 45895680.

The previous prime is 126626231. The next prime is 126626249. The reversal of 126626240 is 42626621.

It is an interprime number because it is at equal distance from previous prime (126626231) and next prime (126626249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126626249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253511 + ... + 254009.

It is an arithmetic number, because the mean of its divisors is an integer number (2952750).

Almost surely, 2^126626240 is an apocalyptic number.

126626240 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 126626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165354000).

126626240 is an abundant number, since it is smaller than the sum of its proper divisors (204081760).

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

126626240 is a wasteful number, since it uses less digits than its factorization.

126626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 126626240 is about 11252.8325323005. The cubic root of 126626240 is about 502.1589841568.

The spelling of 126626240 in words is "one hundred twenty-six million, six hundred twenty-six thousand, two hundred forty".