816293856 has 96 divisors (see below), whose sum is σ = 2533386240. Its totient is φ = 225179136.

The previous prime is 816293783. The next prime is 816293861. The reversal of 816293856 is 658392618.

It is a happy number.

816293856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48).

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, 1456 + ... + 40431.

It is an arithmetic number, because the mean of its divisors is an integer number (26389440).

Almost surely, 2^816293856 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 816293856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266693120).

816293856 is an abundant number, since it is smaller than the sum of its proper divisors (1717092384).

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

816293856 is a wasteful number, since it uses less digits than its factorization.

816293856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41936 (or 41928 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 816293856 is about 28570.8567599923. The cubic root of 816293856 is about 934.5779047438.

The spelling of 816293856 in words is "eight hundred sixteen million, two hundred ninety-three thousand, eight hundred fifty-six".