923961000 has 128 divisors (see below), whose sum is σ = 2922940800. Its totient is φ = 242956800.

The previous prime is 923960993. The next prime is 923961019. The reversal of 923961000 is 169329.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 216891 + ... + 221109.

It is an arithmetic number, because the mean of its divisors is an integer number (22835475).

Almost surely, 2^923961000 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 923961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461470400).

923961000 is an abundant number, since it is smaller than the sum of its proper divisors (1998979800).

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

923961000 is a wasteful number, since it uses less digits than its factorization.

923961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 923961000 is about 30396.7267974695. The cubic root of 923961000 is about 973.9826337333.

The spelling of 923961000 in words is "nine hundred twenty-three million, nine hundred sixty-one thousand".