820606427232 has 96 divisors (see below), whose sum is σ = 2239810320384. Its totient is φ = 262779417600.

The previous prime is 820606427231. The next prime is 820606427299. The reversal of 820606427232 is 232724606028.

It is a happy number.

820606427232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×820606427232² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820606427231) 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, 598644 + ... + 1414067.

It is an arithmetic number, because the mean of its divisors is an integer number (23331357504).

Almost surely, 2^820606427232 is an apocalyptic number.

It is an amenable number.

820606427232 is an abundant number, since it is smaller than the sum of its proper divisors (1419203893152).

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

820606427232 is a wasteful number, since it uses less digits than its factorization.

820606427232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012892 (or 2012884 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 820606427232 in words is "eight hundred twenty billion, six hundred six million, four hundred twenty-seven thousand, two hundred thirty-two".