126633240 has 128 divisors (see below), whose sum is σ = 433656000. Its totient is φ = 32845824.

The previous prime is 126633229. The next prime is 126633251. The reversal of 126633240 is 42336621.

126633240 is a `hidden beast` number, since 1 + 2 + 6 + 633 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126633229) and next prime (126633251).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38376 + ... + 41544.

Almost surely, 2^126633240 is an apocalyptic number.

126633240 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 126633240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216828000).

126633240 is an abundant number, since it is smaller than the sum of its proper divisors (307022760).

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

126633240 is a wasteful number, since it uses less digits than its factorization.

126633240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 126633240 is about 11253.1435608011. The cubic root of 126633240 is about 502.1682372367.

Adding to 126633240 its reverse (42336621), we get a palindrome (168969861).

The spelling of 126633240 in words is "one hundred twenty-six million, six hundred thirty-three thousand, two hundred forty".