820892160 has 480 divisors, whose sum is σ = 3217294080. Its totient is φ = 191692800.

The previous prime is 820892159. The next prime is 820892167. The reversal of 820892160 is 61298028.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (820892167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10391001 + ... + 10391079.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^820892160 is an apocalyptic number.

820892160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

820892160 is an abundant number, since it is smaller than the sum of its proper divisors (2396401920).

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

820892160 is a wasteful number, since it uses less digits than its factorization.

820892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 820892160 is about 28651.2156810143. The cubic root of 820892160 is about 936.3294917126.

The spelling of 820892160 in words is "eight hundred twenty million, eight hundred ninety-two thousand, one hundred sixty".