827367696 has 225 divisors, whose sum is σ = 2599064149. Its totient is φ = 254043648.

The previous prime is 827367691. The next prime is 827367703. The reversal of 827367696 is 696763728.

The square root of 827367696 is 28764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 644144400 + 183223296 = 25380^2 + 13536^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827367691) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17603545 + ... + 17603591.

Almost surely, 2^827367696 is an apocalyptic number.

827367696 is the 28764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827367696

827367696 is an abundant number, since it is smaller than the sum of its proper divisors (1771696453).

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

827367696 is a wasteful number, since it uses less digits than its factorization.

827367696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 69 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The cubic root of 827367696 is about 938.7850971421.

The spelling of 827367696 in words is "eight hundred twenty-seven million, three hundred sixty-seven thousand, six hundred ninety-six".