821552160 has 192 divisors, whose sum is σ = 3040571520. Its totient is φ = 183828480.

The previous prime is 821552141. The next prime is 821552201. The reversal of 821552160 is 61255128.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62656 + ... + 74624.

It is an arithmetic number, because the mean of its divisors is an integer number (15836310).

Almost surely, 2^821552160 is an apocalyptic number.

821552160 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 821552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520285760).

821552160 is an abundant number, since it is smaller than the sum of its proper divisors (2219019360).

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

821552160 is a wasteful number, since it uses less digits than its factorization.

821552160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011 (or 12003 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 821552160 is about 28662.7312027308. The cubic root of 821552160 is about 936.5803618228.

The spelling of 821552160 in words is "eight hundred twenty-one million, five hundred fifty-two thousand, one hundred sixty".