126640800 has 576 divisors, whose sum is σ = 551214720. Its totient is φ = 27648000.

The previous prime is 126640793. The next prime is 126640807. The reversal of 126640800 is 8046621.

126640800 is a `hidden beast` number, since 12 + 6 + 640 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126640793) and next prime (126640807).

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

It is not an unprimeable number, because it can be changed into a prime (126640807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3088780 + ... + 3088820.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 2^126640800 is an apocalyptic number.

126640800 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 126640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

126640800 is an abundant number, since it is smaller than the sum of its proper divisors (424573920).

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

126640800 is a wasteful number, since it uses less digits than its factorization.

126640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

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

The square root of 126640800 is about 11253.4794619264. The cubic root of 126640800 is about 502.1782301799.

The spelling of 126640800 in words is "one hundred twenty-six million, six hundred forty thousand, eight hundred".