816667488 has 576 divisors, whose sum is σ = 3187537920. Its totient is φ = 198402048.

The previous prime is 816667487. The next prime is 816667529. The reversal of 816667488 is 884766618.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816667487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17375881 + ... + 17375927.

It is an arithmetic number, because the mean of its divisors is an integer number (5533920).

Almost surely, 2^816667488 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 816667488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593768960).

816667488 is an abundant number, since it is smaller than the sum of its proper divisors (2370870432).

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

816667488 is a wasteful number, since it uses less digits than its factorization.

816667488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 816667488 is about 28577.3947028066. The cubic root of 816667488 is about 934.7204738878.

The spelling of 816667488 in words is "eight hundred sixteen million, six hundred sixty-seven thousand, four hundred eighty-eight".