920798208 has 264 divisors, whose sum is σ = 3004275456. Its totient is φ = 269107200.

The previous prime is 920798201. The next prime is 920798231. The reversal of 920798208 is 802897029.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×920798208² = 1695738679712022528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (920798201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3142510 + ... + 3142802.

Almost surely, 2^920798208 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 920798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502137728).

920798208 is an abundant number, since it is smaller than the sum of its proper divisors (2083477248).

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

920798208 is a wasteful number, since it uses less digits than its factorization.

920798208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 920798208 is about 30344.6569926239. The cubic root of 920798208 is about 972.8700232375.

The spelling of 920798208 in words is "nine hundred twenty million, seven hundred ninety-eight thousand, two hundred eight".