816012288 has 396 divisors, whose sum is σ = 2972980920. Its totient is φ = 213663744.

The previous prime is 816012277. The next prime is 816012293. The reversal of 816012288 is 882210618.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5870523 + ... + 5870661.

Almost surely, 2^816012288 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 816012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486490460).

816012288 is an abundant number, since it is smaller than the sum of its proper divisors (2156968632).

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

816012288 is a wasteful number, since it uses less digits than its factorization.

816012288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 816012288 is about 28565.9287963826. The cubic root of 816012288 is about 934.4704362991.

The spelling of 816012288 in words is "eight hundred sixteen million, twelve thousand, two hundred eighty-eight".