820264941 has 32 divisors (see below), whose sum is σ = 1303344000. Its totient is φ = 508270464.

The previous prime is 820264919. The next prime is 820264957. The reversal of 820264941 is 149462028.

820264941 is a `hidden beast` number, since 8 + 2 + 0 + 2 + 649 + 4 + 1 = 666.

It is not a de Polignac number, because 820264941 - 2⁹ = 820264429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 820264896 and 820264905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820264961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12105 + ... + 42273.

It is an arithmetic number, because the mean of its divisors is an integer number (40729500).

Almost surely, 2^820264941 is an apocalyptic number.

It is an amenable number.

820264941 is a deficient number, since it is larger than the sum of its proper divisors (483079059).

820264941 is a wasteful number, since it uses less digits than its factorization.

820264941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30250 (or 30244 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 820264941 is about 28640.2678234684. The cubic root of 820264941 is about 936.0909572193.

The spelling of 820264941 in words is "eight hundred twenty million, two hundred sixty-four thousand, nine hundred forty-one".