126363984 has 80 divisors (see below), whose sum is σ = 346644480. Its totient is φ = 39553920.

The previous prime is 126363983. The next prime is 126364019. The reversal of 126363984 is 489363621.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126363983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115279 + ... + 116369.

It is an arithmetic number, because the mean of its divisors is an integer number (4333056).

Almost surely, 2^126363984 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 126363984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

126363984 is an abundant number, since it is smaller than the sum of its proper divisors (220280496).

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

126363984 is a wasteful number, since it uses less digits than its factorization.

126363984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 126363984 is about 11241.1736042105. The cubic root of 126363984 is about 501.8120702030.

The spelling of 126363984 in words is "one hundred twenty-six million, three hundred sixty-three thousand, nine hundred eighty-four".