126293984 has 48 divisors (see below), whose sum is σ = 255104640. Its totient is φ = 61526400.

The previous prime is 126293983. The next prime is 126294001. The reversal of 126293984 is 489392621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126293983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284867 + ... + 285309.

It is an arithmetic number, because the mean of its divisors is an integer number (5314680).

Almost surely, 2^126293984 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 126293984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127552320).

126293984 is an abundant number, since it is smaller than the sum of its proper divisors (128810656).

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

126293984 is a wasteful number, since it uses less digits than its factorization.

126293984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 126293984 is about 11238.0596189912. The cubic root of 126293984 is about 501.7193926008.

The spelling of 126293984 in words is "one hundred twenty-six million, two hundred ninety-three thousand, nine hundred eighty-four".