126681600 has 120 divisors (see below), whose sum is σ = 418611600. Its totient is φ = 33771520.

The previous prime is 126681587. The next prime is 126681613. The reversal of 126681600 is 6186621.

It is an interprime number because it is at equal distance from previous prime (126681587) and next prime (126681613).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36751 + ... + 40049.

It is an arithmetic number, because the mean of its divisors is an integer number (3488430).

Almost surely, 2^126681600 is an apocalyptic number.

126681600 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 126681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209305800).

126681600 is an abundant number, since it is smaller than the sum of its proper divisors (291930000).

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

126681600 is an equidigital number, since it uses as much as digits as its factorization.

126681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 126681600 is about 11255.2920886132. The cubic root of 126681600 is about 502.2321534860.

The spelling of 126681600 in words is "one hundred twenty-six million, six hundred eighty-one thousand, six hundred".