820248975 has 216 divisors, whose sum is σ = 1890972720. Its totient is φ = 336752640.

The previous prime is 820248971. The next prime is 820248991. The reversal of 820248975 is 579842028.

It is not a de Polignac number, because 820248975 - 2² = 820248971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 820248975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820248971) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8456127 + ... + 8456223.

Almost surely, 2^820248975 is an apocalyptic number.

820248975 is an abundant number, since it is smaller than the sum of its proper divisors (1070723745).

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

820248975 is a wasteful number, since it uses less digits than its factorization.

820248975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 820248975 is about 28639.9890886851. The cubic root of 820248975 is about 936.0848836836.

The spelling of 820248975 in words is "eight hundred twenty million, two hundred forty-eight thousand, nine hundred seventy-five".