126566496 has 192 divisors, whose sum is σ = 447068160. Its totient is φ = 34007040.

The previous prime is 126566477. The next prime is 126566497. The reversal of 126566496 is 694665621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126566497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102201 + ... + 103431.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2^126566496 is an apocalyptic number.

126566496 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 126566496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

126566496 is an abundant number, since it is smaller than the sum of its proper divisors (320501664).

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

126566496 is a wasteful number, since it uses less digits than its factorization.

126566496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1260 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 126566496 is about 11250.1775985982. The cubic root of 126566496 is about 502.0799965634.

The spelling of 126566496 in words is "one hundred twenty-six million, five hundred sixty-six thousand, four hundred ninety-six".