820962 has 32 divisors (see below), whose sum is σ = 1906560. Its totient is φ = 261360.

The previous prime is 820957. The next prime is 820969. The reversal of 820962 is 269028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (820969) 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, 912 + ... + 1572.

It is an arithmetic number, because the mean of its divisors is an integer number (59580).

2⁸²⁰⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953280).

820962 is an abundant number, since it is smaller than the sum of its proper divisors (1085598).

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

820962 is a wasteful number, since it uses less digits than its factorization.

820962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 820962 is about 906.0695337556. The cubic root of 820962 is about 93.6356044692.

The spelling of 820962 in words is "eight hundred twenty thousand, nine hundred sixty-two".