914961000 has 128 divisors (see below), whose sum is σ = 2881008000. Its totient is φ = 241740800.

The previous prime is 914960983. The next prime is 914961007. The reversal of 914961000 is 169419.

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

It is not an unprimeable number, because it can be changed into a prime (914961007) 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 31 ways as a sum of consecutive naturals, for example, 337651 + ... + 340349.

It is an arithmetic number, because the mean of its divisors is an integer number (22507875).

Almost surely, 2^914961000 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 914961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440504000).

914961000 is an abundant number, since it is smaller than the sum of its proper divisors (1966047000).

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

914961000 is a wasteful number, since it uses less digits than its factorization.

914961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 914961000 is about 30248.3222675242. The cubic root of 914961000 is about 970.8098950340.

The spelling of 914961000 in words is "nine hundred fourteen million, nine hundred sixty-one thousand".