126821376 has 220 divisors, whose sum is σ = 416114160. Its totient is φ = 38154240.

The previous prime is 126821363. The next prime is 126821381. The reversal of 126821376 is 673128621.

126821376 is a `hidden beast` number, since 1 + 268 + 21 + 376 = 666.

It is a super-2 number, since 2×126821376² = 32167322821066752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126821376.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 912315 + ... + 912453.

It is an arithmetic number, because the mean of its divisors is an integer number (1891428).

Almost surely, 2^126821376 is an apocalyptic number.

126821376 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 126821376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208057080).

126821376 is an abundant number, since it is smaller than the sum of its proper divisors (289292784).

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

126821376 is a wasteful number, since it uses less digits than its factorization.

126821376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 126821376 is about 11261.4997225059. The cubic root of 126821376 is about 502.4168006607.

Adding to 126821376 its reverse (673128621), we get a palindrome (799949997).

The spelling of 126821376 in words is "one hundred twenty-six million, eight hundred twenty-one thousand, three hundred seventy-six".