914106000 has 160 divisors (see below), whose sum is σ = 2988880128. Its totient is φ = 240307200.

The previous prime is 914105989. The next prime is 914106001. The reversal of 914106000 is 601419.

It is not an unprimeable number, because it can be changed into a prime (914106001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436957 + ... + 439043.

Almost surely, 2^914106000 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 914106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494440064).

914106000 is an abundant number, since it is smaller than the sum of its proper divisors (2074774128).

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

914106000 is a wasteful number, since it uses less digits than its factorization.

914106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 914106000 is about 30234.1859490213. The cubic root of 914106000 is about 970.5074044931.

Adding to 914106000 its reverse (601419), we get a palindrome (914707419).

The spelling of 914106000 in words is "nine hundred fourteen million, one hundred six thousand".