920712 has 48 divisors (see below), whose sum is σ = 2503440. Its totient is φ = 282048.

The previous prime is 920707. The next prime is 920729. The reversal of 920712 is 217029.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3943 + ... + 4169.

It is an arithmetic number, because the mean of its divisors is an integer number (52155).

2⁹²⁰⁷¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251720).

920712 is an abundant number, since it is smaller than the sum of its proper divisors (1582728).

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

920712 is a wasteful number, since it uses less digits than its factorization.

920712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 920712 is about 959.5373885368. The cubic root of 920712 is about 97.2839661248.

The spelling of 920712 in words is "nine hundred twenty thousand, seven hundred twelve".