126885000 has 160 divisors (see below), whose sum is σ = 432986400. Its totient is φ = 30720000.

The previous prime is 126884977. The next prime is 126885001. The reversal of 126885000 is 588621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (126885001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164616 + ... + 165384.

It is an arithmetic number, because the mean of its divisors is an integer number (2706165).

Almost surely, 2^126885000 is an apocalyptic number.

126885000 is a gapful number since it is divisible by the number (10) 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 126885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216493200).

126885000 is an abundant number, since it is smaller than the sum of its proper divisors (306101400).

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

126885000 is a wasteful number, since it uses less digits than its factorization.

126885000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 126885000 is about 11264.3242140840. The cubic root of 126885000 is about 502.5008044342.

It can be divided in two parts, 1268 and 85000, that added together give a palindrome (86268).

The spelling of 126885000 in words is "one hundred twenty-six million, eight hundred eighty-five thousand".