126249984 has 264 divisors, whose sum is σ = 442807040. Its totient is φ = 33841152.

The previous prime is 126249961. The next prime is 126249989. The reversal of 126249984 is 489942621.

126249984 is a `hidden beast` number, since 12 + 624 + 9 + 9 + 8 + 4 = 666.

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 (126249989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225677 + ... + 1225779.

Almost surely, 2^126249984 is an apocalyptic number.

126249984 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 126249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221403520).

126249984 is an abundant number, since it is smaller than the sum of its proper divisors (316557056).

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

126249984 is a wasteful number, since it uses less digits than its factorization.

126249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 126249984 is about 11236.1018151314. The cubic root of 126249984 is about 501.6611205788.

The spelling of 126249984 in words is "one hundred twenty-six million, two hundred forty-nine thousand, nine hundred eighty-four".