821898560 has 336 divisors, whose sum is σ = 2476780416. Its totient is φ = 258306048.

The previous prime is 821898559. The next prime is 821898569. The reversal of 821898560 is 65898128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821898569) 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, 15507494 + ... + 15507546.

Almost surely, 2^821898560 is an apocalyptic number.

821898560 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 821898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238390208).

821898560 is an abundant number, since it is smaller than the sum of its proper divisors (1654881856).

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

821898560 is a wasteful number, since it uses less digits than its factorization.

821898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 47.

The square root of 821898560 is about 28668.7732559313. The cubic root of 821898560 is about 936.7119768583.

The spelling of 821898560 in words is "eight hundred twenty-one million, eight hundred ninety-eight thousand, five hundred sixty".