126976 has 26 divisors (see below), whose sum is σ = 262112. Its totient is φ = 61440.

The previous prime is 126967. The next prime is 126989. The reversal of 126976 is 679621.

It is a super-2 number, since 2×126976² = 32245809152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 2 and base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4081 + ... + 4111.

2¹²⁶⁹⁷⁶ is an apocalyptic number.

126976 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 126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131056).

126976 is an abundant number, since it is smaller than the sum of its proper divisors (135136).

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

126976 is an frugal number, since it uses more digits than its factorization.

126976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 126976 is about 356.3369192211. The cubic root of 126976 is about 50.2620904383.

Multiplying 126976 by its sum of digits (31), we get a square (3936256 = 1984²).

126976 divided by its sum of digits (31) gives a 12-th power (4096 = 2¹²).

The spelling of 126976 in words is "one hundred twenty-six thousand, nine hundred seventy-six".