821516000 has 96 divisors (see below), whose sum is σ = 2053265760. Its totient is φ = 323036800.

The previous prime is 821515997. The next prime is 821516009. The reversal of 821516000 is 615128.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821516009) 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, 13923971 + ... + 13924029.

It is an arithmetic number, because the mean of its divisors is an integer number (21388185).

Almost surely, 2^821516000 is an apocalyptic number.

821516000 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 821516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026632880).

821516000 is an abundant number, since it is smaller than the sum of its proper divisors (1231749760).

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

821516000 is an frugal number, since it uses more digits than its factorization.

821516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 821516000 is about 28662.1004115190. The cubic root of 821516000 is about 936.5666206612.

The spelling of 821516000 in words is "eight hundred twenty-one million, five hundred sixteen thousand".