816041310 has 128 divisors (see below), whose sum is σ = 2385054720. Its totient is φ = 174434304.

The previous prime is 816041251. The next prime is 816041321. The reversal of 816041310 is 13140618.

It is a super-2 number, since 2×816041310² = 1331846839253032200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 638392 + ... + 639668.

It is an arithmetic number, because the mean of its divisors is an integer number (18633240).

Almost surely, 2^816041310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816041310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192527360).

816041310 is an abundant number, since it is smaller than the sum of its proper divisors (1569013410).

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

816041310 is a wasteful number, since it uses less digits than its factorization.

816041310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 816041310 is about 28566.4367746487. The cubic root of 816041310 is about 934.4815145144.

Adding to 816041310 its reverse (13140618), we get a palindrome (829181928).

It can be divided in two parts, 8160 and 41310, that multiplied together give a square (337089600 = 18360²).

The spelling of 816041310 in words is "eight hundred sixteen million, forty-one thousand, three hundred ten".