816254820 has 240 divisors, whose sum is σ = 2815021440. Its totient is φ = 197074944.

The previous prime is 816254809. The next prime is 816254821. The reversal of 816254820 is 28452618.

816254820 is a `hidden beast` number, since 8 + 1 + 625 + 4 + 8 + 20 = 666.

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 (816254821) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 707364 + ... + 708516.

It is an arithmetic number, because the mean of its divisors is an integer number (11729256).

Almost surely, 2^816254820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816254820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407510720).

816254820 is an abundant number, since it is smaller than the sum of its proper divisors (1998766620).

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

816254820 is a wasteful number, since it uses less digits than its factorization.

816254820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 816254820 is about 28570.1736081530. The cubic root of 816254820 is about 934.5630070186.

The spelling of 816254820 in words is "eight hundred sixteen million, two hundred fifty-four thousand, eight hundred twenty".