126920 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 47808.

The previous prime is 126913. The next prime is 126923. The reversal of 126920 is 29621.

It is a super-2 number, since 2×126920² = 32217372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 126892 and 126901.

It is not an unprimeable number, because it can be changed into a prime (126923) by changing a digit.

126920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹²⁶⁹²⁰ is an apocalyptic number.

126920 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 126920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

126920 is an abundant number, since it is smaller than the sum of its proper divisors (175480).

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

126920 is a wasteful number, since it uses less digits than its factorization.

126920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 126920 is about 356.2583332359. The cubic root of 126920 is about 50.2547003516.

The spelling of 126920 in words is "one hundred twenty-six thousand, nine hundred twenty".