126786000 has 320 divisors, whose sum is σ = 476326656. Its totient is φ = 28672000.

The previous prime is 126785987. The next prime is 126786019. The reversal of 126786000 is 687621.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121944 + ... + 1122056.

Almost surely, 2^126786000 is an apocalyptic number.

126786000 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 126786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238163328).

126786000 is an abundant number, since it is smaller than the sum of its proper divisors (349540656).

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

126786000 is a wasteful number, since it uses less digits than its factorization.

126786000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 126786000 is about 11259.9289518185. The cubic root of 126786000 is about 502.3700810141.

The spelling of 126786000 in words is "one hundred twenty-six million, seven hundred eighty-six thousand".