920697648 has 80 divisors (see below), whose sum is σ = 2568689760. Its totient is φ = 282488832.

The previous prime is 920697629. The next prime is 920697689. The reversal of 920697648 is 846796029.

It is a happy number.

920697648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 30343²-1.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 920697648.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240840 + ... + 244632.

It is an arithmetic number, because the mean of its divisors is an integer number (32108622).

Almost surely, 2^920697648 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 920697648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284344880).

920697648 is an abundant number, since it is smaller than the sum of its proper divisors (1647992112).

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

920697648 is a wasteful number, since it uses less digits than its factorization.

920697648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 920697648 is about 30342.9999835217. Note that the first 4 decimals coincide. The cubic root of 920697648 is about 972.8346063675.

The spelling of 920697648 in words is "nine hundred twenty million, six hundred ninety-seven thousand, six hundred forty-eight".