820265292 has 360 divisors, whose sum is σ = 2793744800. Its totient is φ = 209563200.

The previous prime is 820265287. The next prime is 820265309. The reversal of 820265292 is 292562028.

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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13446942 + ... + 13447002.

Almost surely, 2^820265292 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 820265292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396872400).

820265292 is an abundant number, since it is smaller than the sum of its proper divisors (1973479508).

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

820265292 is a wasteful number, since it uses less digits than its factorization.

820265292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 820265292 is about 28640.2739512037. The cubic root of 820265292 is about 936.0910907404.

The spelling of 820265292 in words is "eight hundred twenty million, two hundred sixty-five thousand, two hundred ninety-two".