126048384 has 384 divisors, whose sum is σ = 477360000. Its totient is φ = 31610880.

The previous prime is 126048383. The next prime is 126048401. The reversal of 126048384 is 483840621.

126048384 is a `hidden beast` number, since 12 + 604 + 8 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×126048384² = 31776390218022912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126048383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4346482 + ... + 4346510.

It is an arithmetic number, because the mean of its divisors is an integer number (1243125).

Almost surely, 2^126048384 is an apocalyptic number.

126048384 is a gapful number since it is divisible by the number (14) 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 126048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238680000).

126048384 is an abundant number, since it is smaller than the sum of its proper divisors (351311616).

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

126048384 is a wasteful number, since it uses less digits than its factorization.

126048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 126048384 is about 11227.1271481176. The cubic root of 126048384 is about 501.3939554980.

The spelling of 126048384 in words is "one hundred twenty-six million, forty-eight thousand, three hundred eighty-four".