906768 has 40 divisors (see below), whose sum is σ = 2604000. Its totient is φ = 302112.

The previous prime is 906767. The next prime is 906779. The reversal of 906768 is 867609.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (906767) 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, 618 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

2⁹⁰⁶⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

906768 is an abundant number, since it is smaller than the sum of its proper divisors (1697232).

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

906768 is a wasteful number, since it uses less digits than its factorization.

906768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 906768 is about 952.2436662956. The cubic root of 906768 is about 96.7903503347.

The spelling of 906768 in words is "nine hundred six thousand, seven hundred sixty-eight".