126393696 has 360 divisors, whose sum is σ = 454208832. Its totient is φ = 34214400.

The previous prime is 126393689. The next prime is 126393721. The reversal of 126393696 is 696393621.

It is a happy number.

126393696 is a `hidden beast` number, since 1 + 2 + 639 + 3 + 6 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4077201 + ... + 4077231.

Almost surely, 2^126393696 is an apocalyptic number.

126393696 is a gapful number since it is divisible by the number (16) 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 126393696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227104416).

126393696 is an abundant number, since it is smaller than the sum of its proper divisors (327815136).

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

126393696 is a wasteful number, since it uses less digits than its factorization.

126393696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 126393696 is about 11242.4950967301. The cubic root of 126393696 is about 501.8513975264.

The spelling of 126393696 in words is "one hundred twenty-six million, three hundred ninety-three thousand, six hundred ninety-six".