820264641 has 8 divisors (see below), whose sum is σ = 1249927104. Its totient is φ = 468722640.

The previous prime is 820264639. The next prime is 820264657. The reversal of 820264641 is 146462028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 820264641 - 2¹ = 820264639 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (820264661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19530090 + ... + 19530131.

It is an arithmetic number, because the mean of its divisors is an integer number (156240888).

Almost surely, 2^820264641 is an apocalyptic number.

It is an amenable number.

820264641 is a deficient number, since it is larger than the sum of its proper divisors (429662463).

820264641 is a wasteful number, since it uses less digits than its factorization.

820264641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39060231.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 820264641 is about 28640.2625860867. The cubic root of 820264641 is about 936.0908430987.

The spelling of 820264641 in words is "eight hundred twenty million, two hundred sixty-four thousand, six hundred forty-one".