914772096 has 128 divisors (see below), whose sum is σ = 3085622400. Its totient is φ = 261356544.

The previous prime is 914772041. The next prime is 914772101. The reversal of 914772096 is 690277419.

914772096 is a `hidden beast` number, since 91 + 477 + 2 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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, 5286 + ... + 43098.

It is an arithmetic number, because the mean of its divisors is an integer number (24106425).

Almost surely, 2^914772096 is an apocalyptic number.

914772096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542811200).

914772096 is an abundant number, since it is smaller than the sum of its proper divisors (2170850304).

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

914772096 is a wasteful number, since it uses less digits than its factorization.

914772096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37843 (or 37825 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 914772096 is about 30245.1995529869. The cubic root of 914772096 is about 970.7430788911.

The spelling of 914772096 in words is "nine hundred fourteen million, seven hundred seventy-two thousand, ninety-six".