825027264 has 84 divisors (see below), whose sum is σ = 2446385760. Its totient is φ = 265520640.

The previous prime is 825027233. The next prime is 825027277. The reversal of 825027264 is 462720528.

825027264 is a `hidden beast` number, since 82 + 502 + 72 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7992 + ... + 41399.

It is an arithmetic number, because the mean of its divisors is an integer number (29123640).

Almost surely, 2^825027264 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 825027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223192880).

825027264 is an abundant number, since it is smaller than the sum of its proper divisors (1621358496).

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

825027264 is a wasteful number, since it uses less digits than its factorization.

825027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49438 (or 49425 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 825027264 is about 28723.2878340903. The cubic root of 825027264 is about 937.8990591245.

The spelling of 825027264 in words is "eight hundred twenty-five million, twenty-seven thousand, two hundred sixty-four".