126846000 has 320 divisors, whose sum is σ = 475862400. Its totient is φ = 32659200.

The previous prime is 126845987. The next prime is 126846007. The reversal of 126846000 is 648621.

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 (126846007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4373986 + ... + 4374014.

It is an arithmetic number, because the mean of its divisors is an integer number (1487070).

Almost surely, 2^126846000 is an apocalyptic number.

126846000 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 126846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237931200).

126846000 is an abundant number, since it is smaller than the sum of its proper divisors (349016400).

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

126846000 is an frugal number, since it uses more digits than its factorization.

126846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

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

The square root of 126846000 is about 11262.5929518917. The cubic root of 126846000 is about 502.4493154493.

The spelling of 126846000 in words is "one hundred twenty-six million, eight hundred forty-six thousand".