847285920 has 480 divisors, whose sum is σ = 3319481088. Its totient is φ = 202217472.

The previous prime is 847285919. The next prime is 847285921. The reversal of 847285920 is 29582748.

It is an interprime number because it is at equal distance from previous prime (847285919) and next prime (847285921).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (847285921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7918507 + ... + 7918613.

Almost surely, 2^847285920 is an apocalyptic number.

847285920 is a gapful number since it is divisible by the number (80) 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 847285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659740544).

847285920 is an abundant number, since it is smaller than the sum of its proper divisors (2472195168).

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

847285920 is a wasteful number, since it uses less digits than its factorization.

847285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 847285920 is about 29108.1761709661. The cubic root of 847285920 is about 946.2589418792.

The spelling of 847285920 in words is "eight hundred forty-seven million, two hundred eighty-five thousand, nine hundred twenty".