126093240 has 256 divisors, whose sum is σ = 517708800. Its totient is φ = 26583552.

The previous prime is 126093239. The next prime is 126093241. The reversal of 126093240 is 42390621.

126093240 is a `hidden beast` number, since 12 + 609 + 3 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (126093239) and next prime (126093241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126093241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97639 + ... + 98921.

It is an arithmetic number, because the mean of its divisors is an integer number (2022300).

Almost surely, 2^126093240 is an apocalyptic number.

126093240 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 126093240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258854400).

126093240 is an abundant number, since it is smaller than the sum of its proper divisors (391615560).

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

126093240 is a wasteful number, since it uses less digits than its factorization.

126093240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 126093240 is about 11229.1246319560. The cubic root of 126093240 is about 501.4534243549.

The spelling of 126093240 in words is "one hundred twenty-six million, ninety-three thousand, two hundred forty".