816532416 has 168 divisors, whose sum is σ = 2725972704. Its totient is φ = 228833280.

The previous prime is 816532399. The next prime is 816532421. The reversal of 816532416 is 614235618.

It is a happy number.

816532416 is a `hidden beast` number, since 81 + 6 + 532 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211786 + ... + 215606.

It is an arithmetic number, because the mean of its divisors is an integer number (16226028).

Almost surely, 2^816532416 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 816532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362986352).

816532416 is an abundant number, since it is smaller than the sum of its proper divisors (1909440288).

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

816532416 is a wasteful number, since it uses less digits than its factorization.

816532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3886 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 816532416 is about 28575.0313385655. The cubic root of 816532416 is about 934.6689386232.

The spelling of 816532416 in words is "eight hundred sixteen million, five hundred thirty-two thousand, four hundred sixteen".