819034416 has 280 divisors, whose sum is σ = 2576192256. Its totient is φ = 251475840.

The previous prime is 819034379. The next prime is 819034421. The reversal of 819034416 is 614430918.

It is a super-2 number, since 2×819034416² = 1341634749184922112, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11535661 + ... + 11535731.

Almost surely, 2^819034416 is an apocalyptic number.

819034416 is a gapful number since it is divisible by the number (86) 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 819034416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288096128).

819034416 is an abundant number, since it is smaller than the sum of its proper divisors (1757157840).

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

819034416 is a wasteful number, since it uses less digits than its factorization.

819034416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 819034416 is about 28618.7773323739. Note that the first 3 decimals coincide. The cubic root of 819034416 is about 935.6226289393.

The spelling of 819034416 in words is "eight hundred nineteen million, thirty-four thousand, four hundred sixteen".