2126768 has 40 divisors (see below), whose sum is σ = 4990752. Its totient is φ = 857088.

The previous prime is 2126767. The next prime is 2126771. The reversal of 2126768 is 8676212.

It is not an unprimeable number, because it can be changed into a prime (2126767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1346 + ... + 2462.

2^2126768 is an apocalyptic number.

2126768 is a gapful number since it is divisible by the number (28) 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 2126768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495376).

2126768 is an abundant number, since it is smaller than the sum of its proper divisors (2863984).

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

2126768 is a wasteful number, since it uses less digits than its factorization.

2126768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1143 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 2126768 is about 1458.3442666257. The cubic root of 2126768 is about 128.5997247539.

The spelling of 2126768 in words is "two million, one hundred twenty-six thousand, seven hundred sixty-eight".