126576 has 40 divisors (see below), whose sum is σ = 364560. Its totient is φ = 42048.

The previous prime is 126551. The next prime is 126583. The reversal of 126576 is 675621.

126576 is a `hidden beast` number, since 1 + 2 + 657 + 6 = 666.

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.

126576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2¹²⁶⁵⁷⁶ is an apocalyptic number.

126576 is a gapful number since it is divisible by the number (16) 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 126576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182280).

126576 is an abundant number, since it is smaller than the sum of its proper divisors (237984).

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

126576 is a wasteful number, since it uses less digits than its factorization.

126576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 126576 is about 355.7752099290. The cubic root of 126576 is about 50.2092563472.

The spelling of 126576 in words is "one hundred twenty-six thousand, five hundred seventy-six".