126528804 has 60 divisors (see below), whose sum is σ = 336428400. Its totient is φ = 41455152.

The previous prime is 126528803. The next prime is 126528817. The reversal of 126528804 is 408825621.

126528804 is a `hidden beast` number, since 126 + 528 + 8 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (126528803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15807 + ... + 22425.

It is an arithmetic number, because the mean of its divisors is an integer number (5607140).

Almost surely, 2^126528804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126528804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168214200).

126528804 is an abundant number, since it is smaller than the sum of its proper divisors (209899596).

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

126528804 is a wasteful number, since it uses less digits than its factorization.

126528804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 126528804 is about 11248.5023003065. The cubic root of 126528804 is about 502.0301511496.

The spelling of 126528804 in words is "one hundred twenty-six million, five hundred twenty-eight thousand, eight hundred four".