820652693 has 16 divisors (see below), whose sum is σ = 988485120. Its totient is φ = 665562096.

The previous prime is 820652681. The next prime is 820652699. The reversal of 820652693 is 396256028.

It is not a de Polignac number, because 820652693 - 2²⁰ = 819604117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 820652693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820652699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117230 + ... + 124032.

It is an arithmetic number, because the mean of its divisors is an integer number (61780320).

Almost surely, 2^820652693 is an apocalyptic number.

It is an amenable number.

820652693 is a deficient number, since it is larger than the sum of its proper divisors (167832427).

820652693 is a wasteful number, since it uses less digits than its factorization.

820652693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736.

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 820652693 is about 28647.0363737682. The cubic root of 820652693 is about 936.2384355700.

The spelling of 820652693 in words is "eight hundred twenty million, six hundred fifty-two thousand, six hundred ninety-three".