820642592 has 120 divisors (see below), whose sum is σ = 2058264432. Its totient is φ = 319401600.

The previous prime is 820642591. The next prime is 820642727. The reversal of 820642592 is 295246028.

It is not an unprimeable number, because it can be changed into a prime (820642591) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 844667 + ... + 845637.

Almost surely, 2^820642592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820642592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029132216).

820642592 is an abundant number, since it is smaller than the sum of its proper divisors (1237621840).

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

820642592 is an equidigital number, since it uses as much as digits as its factorization.

820642592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 820642592 is about 28646.8600722662. The cubic root of 820642592 is about 936.2345943254.

The spelling of 820642592 in words is "eight hundred twenty million, six hundred forty-two thousand, five hundred ninety-two".