126026496 has 72 divisors (see below), whose sum is σ = 372702960. Its totient is φ = 42006528.

The previous prime is 126026473. The next prime is 126026503. The reversal of 126026496 is 694620621.

126026496 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 2 + 649 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 126026496.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2205 + ... + 16028.

It is an arithmetic number, because the mean of its divisors is an integer number (5176430).

Almost surely, 2^126026496 is an apocalyptic number.

126026496 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 126026496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186351480).

126026496 is an abundant number, since it is smaller than the sum of its proper divisors (246676464).

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

126026496 is an equidigital number, since it uses as much as digits as its factorization.

126026496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18258 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 126026496 is about 11226.1523239265. The cubic root of 126026496 is about 501.3649318648.

The spelling of 126026496 in words is "one hundred twenty-six million, twenty-six thousand, four hundred ninety-six".