126678000 has 160 divisors (see below), whose sum is σ = 418758912. Its totient is φ = 32928000.

The previous prime is 126677989. The next prime is 126678007. The reversal of 126678000 is 876621.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126678007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257755 + ... + 258245.

Almost surely, 2^126678000 is an apocalyptic number.

126678000 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 126678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209379456).

126678000 is an abundant number, since it is smaller than the sum of its proper divisors (292080912).

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

126678000 is a wasteful number, since it uses less digits than its factorization.

126678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

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

The square root of 126678000 is about 11255.1321627069. The cubic root of 126678000 is about 502.2273960130.

The spelling of 126678000 in words is "one hundred twenty-six million, six hundred seventy-eight thousand".