126986496 has 288 divisors, whose sum is σ = 439541760. Its totient is φ = 31629312.

The previous prime is 126986491. The next prime is 126986513. The reversal of 126986496 is 694689621.

It is a super-2 number, since 2×126986496² = 32251140332716032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (126986491) 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, 1607385 + ... + 1607463.

Almost surely, 2^126986496 is an apocalyptic number.

126986496 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 126986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

126986496 is an abundant number, since it is smaller than the sum of its proper divisors (312555264).

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

126986496 is a wasteful number, since it uses less digits than its factorization.

126986496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 126986496 is about 11268.8285105418. The cubic root of 126986496 is about 502.6347530985.

The spelling of 126986496 in words is "one hundred twenty-six million, nine hundred eighty-six thousand, four hundred ninety-six".