920808 has 120 divisors (see below), whose sum is σ = 3103650. Its totient is φ = 254016.

The previous prime is 920807. The next prime is 920827. The reversal of 920808 is 808029.

It can be written as a sum of positive squares in only one way, i.e., 777924 + 142884 = 882^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (920807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31738 + ... + 31766.

2⁹²⁰⁸⁰⁸ is an apocalyptic number.

920808 is a gapful number since it is divisible by the number (98) 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 920808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551825).

920808 is an abundant number, since it is smaller than the sum of its proper divisors (2182842).

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

920808 is a wasteful number, since it uses less digits than its factorization.

920808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 920808 is about 959.5874113389. The cubic root of 920808 is about 97.2873471807.

It can be divided in two parts, 920 and 808, that added together give a cube (1728 = 12³).

The spelling of 920808 in words is "nine hundred twenty thousand, eight hundred eight".