820726641 has 96 divisors (see below), whose sum is σ = 1533265920. Its totient is φ = 424173024.

The previous prime is 820726633. The next prime is 820726649. The reversal of 820726641 is 146627028.

820726641 is a `hidden beast` number, since 8 + 2 + 0 + 7 + 2 + 6 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (820726633) and next prime (820726649).

It is not a de Polignac number, because 820726641 - 2³ = 820726633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 820726596 and 820726605.

It is not an unprimeable number, because it can be changed into a prime (820726649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1569006 + ... + 1569528.

It is an arithmetic number, because the mean of its divisors is an integer number (15971520).

Almost surely, 2^820726641 is an apocalyptic number.

It is an amenable number.

820726641 is a deficient number, since it is larger than the sum of its proper divisors (712539279).

820726641 is a wasteful number, since it uses less digits than its factorization.

820726641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 820726641 is about 28648.3270192170. The cubic root of 820726641 is about 936.2665558215.

The spelling of 820726641 in words is "eight hundred twenty million, seven hundred twenty-six thousand, six hundred forty-one".