914094720 has 640 divisors, whose sum is σ = 4087670400. Its totient is φ = 189112320.

The previous prime is 914094691. The next prime is 914094721. The reversal of 914094720 is 27490419.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914094721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991566 + ... + 3991794.

It is an arithmetic number, because the mean of its divisors is an integer number (6386985).

Almost surely, 2^914094720 is an apocalyptic number.

914094720 is a gapful number since it is divisible by the number (90) 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 914094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043835200).

914094720 is an abundant number, since it is smaller than the sum of its proper divisors (3173575680).

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

914094720 is a wasteful number, since it uses less digits than its factorization.

914094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 914094720 is about 30233.9994046438. Note that the first 3 decimals coincide. The cubic root of 914094720 is about 970.5034124803.

Adding to 914094720 its sum of digits (36), we get a square (914094756 = 30234²).

The spelling of 914094720 in words is "nine hundred fourteen million, ninety-four thousand, seven hundred twenty".