126793296 has 160 divisors (see below), whose sum is σ = 434257920. Its totient is φ = 34632576.

The previous prime is 126793267. The next prime is 126793321. The reversal of 126793296 is 692397621.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 68641 + ... + 70463.

It is an arithmetic number, because the mean of its divisors is an integer number (2714112).

Almost surely, 2^126793296 is an apocalyptic number.

126793296 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 126793296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217128960).

126793296 is an abundant number, since it is smaller than the sum of its proper divisors (307464624).

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

126793296 is a wasteful number, since it uses less digits than its factorization.

126793296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1858 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 126793296 is about 11260.2529278875. The cubic root of 126793296 is about 502.3797172563.

It can be divided in two parts, 1267932 and 96, that added together give a triangular number (1268028 = T₁₅₉₂).

The spelling of 126793296 in words is "one hundred twenty-six million, seven hundred ninety-three thousand, two hundred ninety-six".