816107616 has 96 divisors (see below), whose sum is σ = 2385583200. Its totient is φ = 271434240.

The previous prime is 816107609. The next prime is 816107651. The reversal of 816107616 is 616701618.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570390 + ... + 571818.

It is an arithmetic number, because the mean of its divisors is an integer number (24849825).

Almost surely, 2^816107616 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 816107616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192791600).

816107616 is an abundant number, since it is smaller than the sum of its proper divisors (1569475584).

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

816107616 is a wasteful number, since it uses less digits than its factorization.

816107616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 816107616 is about 28567.5973088393. The cubic root of 816107616 is about 934.5068237124.

The spelling of 816107616 in words is "eight hundred sixteen million, one hundred seven thousand, six hundred sixteen".