126069600 has 72 divisors (see below), whose sum is σ = 410364360. Its totient is φ = 33617920.

The previous prime is 126069599. The next prime is 126069623. The reversal of 126069600 is 6960621.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23865 + ... + 28664.

It is an arithmetic number, because the mean of its divisors is an integer number (5699505).

Almost surely, 2^126069600 is an apocalyptic number.

126069600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126069600 is an abundant number, since it is smaller than the sum of its proper divisors (284294760).

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

126069600 is a wasteful number, since it uses less digits than its factorization.

126069600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52552 (or 52539 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 126069600 is about 11228.0719627192. The cubic root of 126069600 is about 501.4220848481.

The spelling of 126069600 in words is "one hundred twenty-six million, sixty-nine thousand, six hundred".