827094996 has 192 divisors, whose sum is σ = 2754662400. Its totient is φ = 208593792.

The previous prime is 827094979. The next prime is 827095001. The reversal of 827094996 is 699490728.

827094996 is a `hidden beast` number, since 82 + 70 + 9 + 499 + 6 = 666.

It is a super-2 number, since 2×827094996² = 1368172264816480032, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 224215 + ... + 227873.

It is an arithmetic number, because the mean of its divisors is an integer number (14347200).

Almost surely, 2^827094996 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 827094996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377331200).

827094996 is an abundant number, since it is smaller than the sum of its proper divisors (1927567404).

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

827094996 is a wasteful number, since it uses less digits than its factorization.

827094996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 827094996 is about 28759.2593089600. The cubic root of 827094996 is about 938.6819447674.

The spelling of 827094996 in words is "eight hundred twenty-seven million, ninety-four thousand, nine hundred ninety-six".