827674848 has 720 divisors, whose sum is σ = 3406566240. Its totient is φ = 191600640.

The previous prime is 827674843. The next prime is 827674909. The reversal of 827674848 is 848476728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 827674794 and 827674803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827674843) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28540498 + ... + 28540526.

It is an arithmetic number, because the mean of its divisors is an integer number (4731342).

Almost surely, 2^827674848 is an apocalyptic number.

827674848 is a gapful number since it is divisible by the number (88) 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 827674848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703283120).

827674848 is an abundant number, since it is smaller than the sum of its proper divisors (2578891392).

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

827674848 is a wasteful number, since it uses less digits than its factorization.

827674848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 827674848 is about 28769.3386785307. The cubic root of 827674848 is about 938.9012543020.

The spelling of 827674848 in words is "eight hundred twenty-seven million, six hundred seventy-four thousand, eight hundred forty-eight".