821420160 has 512 divisors, whose sum is σ = 3172608000. Its totient is φ = 178421760.

The previous prime is 821420143. The next prime is 821420177. The reversal of 821420160 is 61024128.

It is an interprime number because it is at equal distance from previous prime (821420143) and next prime (821420177).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 821420160.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9229396 + ... + 9229484.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^821420160 is an apocalyptic number.

821420160 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 821420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586304000).

821420160 is an abundant number, since it is smaller than the sum of its proper divisors (2351187840).

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

821420160 is a wasteful number, since it uses less digits than its factorization.

821420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 821420160 is about 28660.4284685348. The cubic root of 821420160 is about 936.5301985523.

Adding to 821420160 its reverse (61024128), we get a palindrome (882444288).

The spelling of 821420160 in words is "eight hundred twenty-one million, four hundred twenty thousand, one hundred sixty".