126766000 has 80 divisors (see below), whose sum is σ = 308962368. Its totient is φ = 50304000.

The previous prime is 126765971. The next prime is 126766001. The reversal of 126766000 is 667621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 126766000.

It is not an unprimeable number, because it can be changed into a prime (126766001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481869 + ... + 482131.

Almost surely, 2^126766000 is an apocalyptic number.

126766000 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 126766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154481184).

126766000 is an abundant number, since it is smaller than the sum of its proper divisors (182196368).

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

126766000 is a wasteful number, since it uses less digits than its factorization.

126766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 126766000 is about 11259.0408117210. The cubic root of 126766000 is about 502.3436639807.

The spelling of 126766000 in words is "one hundred twenty-six million, seven hundred sixty-six thousand".