816815010 has 64 divisors (see below), whose sum is σ = 2173682304. Its totient is φ = 194764800.

The previous prime is 816815009. The next prime is 816815011. The reversal of 816815010 is 10518618.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (816815009) and next prime (816815011).

It is a super-2 number, since 2×816815010² = 1334373521122600200, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (816815011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159 + ... + 40418.

It is an arithmetic number, because the mean of its divisors is an integer number (33963786).

Almost surely, 2^816815010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816815010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086841152).

816815010 is an abundant number, since it is smaller than the sum of its proper divisors (1356867294).

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

816815010 is a wasteful number, since it uses less digits than its factorization.

816815010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40659.

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 816815010 is about 28579.9756822850. The cubic root of 816815010 is about 934.7767528237.

The spelling of 816815010 in words is "eight hundred sixteen million, eight hundred fifteen thousand, ten".