914856096 has 192 divisors, whose sum is σ = 3124832256. Its totient is φ = 227251200.

The previous prime is 914856079. The next prime is 914856109. The reversal of 914856096 is 690658419.

It is a super-2 number, since 2×914856096² = 1673923352776722432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 167326 + ... + 172706.

It is an arithmetic number, because the mean of its divisors is an integer number (16275168).

Almost surely, 2^914856096 is an apocalyptic number.

914856096 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 914856096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562416128).

914856096 is an abundant number, since it is smaller than the sum of its proper divisors (2209976160).

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

914856096 is a wasteful number, since it uses less digits than its factorization.

914856096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 914856096 is about 30246.5881712302. The cubic root of 914856096 is about 970.7727911816.

The spelling of 914856096 in words is "nine hundred fourteen million, eight hundred fifty-six thousand, ninety-six".