126390240 has 192 divisors, whose sum is σ = 468659520. Its totient is φ = 31703040.

The previous prime is 126390227. The next prime is 126390259. The reversal of 126390240 is 42093621.

126390240 is a `hidden beast` number, since 1 + 2 + 639 + 0 + 24 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72580 + ... + 74300.

It is an arithmetic number, because the mean of its divisors is an integer number (2440935).

Almost surely, 2^126390240 is an apocalyptic number.

126390240 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 126390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234329760).

126390240 is an abundant number, since it is smaller than the sum of its proper divisors (342269280).

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

126390240 is a wasteful number, since it uses less digits than its factorization.

126390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1748 counting only the distinct ones).

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

The square root of 126390240 is about 11242.3413931440. The cubic root of 126390240 is about 501.8468234211.

The spelling of 126390240 in words is "one hundred twenty-six million, three hundred ninety thousand, two hundred forty".