827294688 has 192 divisors, whose sum is σ = 2677328640. Its totient is φ = 246412800.

The previous prime is 827294669. The next prime is 827294707. The reversal of 827294688 is 886492728.

It is an interprime number because it is at equal distance from previous prime (827294669) and next prime (827294707).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579031 + ... + 580457.

It is an arithmetic number, because the mean of its divisors is an integer number (13944420).

Almost surely, 2^827294688 is an apocalyptic number.

827294688 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 827294688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338664320).

827294688 is an abundant number, since it is smaller than the sum of its proper divisors (1850033952).

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

827294688 is a wasteful number, since it uses less digits than its factorization.

827294688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1504 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 827294688 is about 28762.7308856444. The cubic root of 827294688 is about 938.7574831245.

The spelling of 827294688 in words is "eight hundred twenty-seven million, two hundred ninety-four thousand, six hundred eighty-eight".