126846 has 32 divisors (see below), whose sum is σ = 295200. Its totient is φ = 40824.

The previous prime is 126839. The next prime is 126851. The reversal of 126846 is 648621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4360 + ... + 4388.

It is an arithmetic number, because the mean of its divisors is an integer number (9225).

126846 is a Friedman number, since it can be written as 486*261, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 261 ⋅ 486 (with its own digits).

2^{126846} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147600).

126846 is an abundant number, since it is smaller than the sum of its proper divisors (168354).

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

126846 is an frugal number, since it uses more digits than its factorization.

126846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 34 counting only the distinct ones).

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

The square root of 126846 is about 356.1544608734. The cubic root of 126846 is about 50.2449315449.

The spelling of 126846 in words is "one hundred twenty-six thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 729 783 1458 1566 2187 2349 4374 4698 7047 14094 21141 42282 63423 126846

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