126948384 has 240 divisors, whose sum is σ = 410544288. Its totient is φ = 38320128.

The previous prime is 126948383. The next prime is 126948389. The reversal of 126948384 is 483849621.

It is a happy number.

126948384 is a `hidden beast` number, since 1 + 269 + 4 + 8 + 384 = 666.

It is a super-2 number, since 2×126948384² = 32231784400422912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (126948383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1894719 + ... + 1894785.

Almost surely, 2^126948384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126948384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205272144).

126948384 is an abundant number, since it is smaller than the sum of its proper divisors (283595904).

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

126948384 is a wasteful number, since it uses less digits than its factorization.

126948384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 126948384 is about 11267.1373471703. The cubic root of 126948384 is about 502.5844634140.

The spelling of 126948384 in words is "one hundred twenty-six million, nine hundred forty-eight thousand, three hundred eighty-four".