827254656 has 96 divisors (see below), whose sum is σ = 2387356920. Its totient is φ = 274959360.

The previous prime is 827254643. The next prime is 827254669. The reversal of 827254656 is 656452728.

It is an interprime number because it is at equal distance from previous prime (827254643) and next prime (827254669).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 509526 + ... + 511146.

Almost surely, 2^827254656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193678460).

827254656 is an abundant number, since it is smaller than the sum of its proper divisors (1560102264).

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

827254656 is a wasteful number, since it uses less digits than its factorization.

827254656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2069 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 827254656 is about 28762.0349766841. The cubic root of 827254656 is about 938.7423410208.

The spelling of 827254656 in words is "eight hundred twenty-seven million, two hundred fifty-four thousand, six hundred fifty-six".