126821430 has 64 divisors (see below), whose sum is σ = 339768000. Its totient is φ = 33661440.

The previous prime is 126821399. The next prime is 126821467. The reversal of 126821430 is 34128621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126821394 and 126821403.

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, 64096 + ... + 66044.

It is an arithmetic number, because the mean of its divisors is an integer number (5308875).

Almost surely, 2^126821430 is an apocalyptic number.

126821430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126821430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169884000).

126821430 is an abundant number, since it is smaller than the sum of its proper divisors (212946570).

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

126821430 is a wasteful number, since it uses less digits than its factorization.

126821430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126821430 is about 11261.5021200549. The cubic root of 126821430 is about 502.4168719696.

The spelling of 126821430 in words is "one hundred twenty-six million, eight hundred twenty-one thousand, four hundred thirty".