827445640 has 64 divisors (see below), whose sum is σ = 2144563200. Its totient is φ = 281449728.

The previous prime is 827445637. The next prime is 827445683. The reversal of 827445640 is 46544728.

827445640 = 486² + 487² + ... + 1374².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 827445593 and 827445602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23926 + ... + 47194.

It is an arithmetic number, because the mean of its divisors is an integer number (33508800).

Almost surely, 2^827445640 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 827445640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072281600).

827445640 is an abundant number, since it is smaller than the sum of its proper divisors (1317117560).

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

827445640 is a wasteful number, since it uses less digits than its factorization.

827445640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23414 (or 23410 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 827445640 is about 28765.3548561460. The cubic root of 827445640 is about 938.8145763238.

The spelling of 827445640 in words is "eight hundred twenty-seven million, four hundred forty-five thousand, six hundred forty".