816966000 has 360 divisors, whose sum is σ = 3033003792. Its totient is φ = 212544000.

The previous prime is 816965999. The next prime is 816966013. The reversal of 816966000 is 669618.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 19925980 + ... + 19926020.

Almost surely, 2^816966000 is an apocalyptic number.

816966000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516501896).

816966000 is an abundant number, since it is smaller than the sum of its proper divisors (2216037792).

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

816966000 is an equidigital number, since it uses as much as digits as its factorization.

816966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 816966000 is about 28582.6170950107. The cubic root of 816966000 is about 934.8343477684.

The spelling of 816966000 in words is "eight hundred sixteen million, nine hundred sixty-six thousand".