920965188 has 192 divisors, whose sum is σ = 2718535680. Its totient is φ = 238464000.

The previous prime is 920965163. The next prime is 920965189. The reversal of 920965188 is 881569029.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (920965189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1532088 + ... + 1532688.

It is an arithmetic number, because the mean of its divisors is an integer number (14159040).

Almost surely, 2^920965188 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 920965188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359267840).

920965188 is an abundant number, since it is smaller than the sum of its proper divisors (1797570492).

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

920965188 is a wasteful number, since it uses less digits than its factorization.

920965188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 920965188 is about 30347.4082583670. The cubic root of 920965188 is about 972.9288272969.

The spelling of 920965188 in words is "nine hundred twenty million, nine hundred sixty-five thousand, one hundred eighty-eight".