816213504 has 80 divisors (see below), whose sum is σ = 2180463120. Its totient is φ = 271319040.

The previous prime is 816213499. The next prime is 816213529. The reversal of 816213504 is 405312618.

It is a super-2 number, since 2×816213504² = 1332408968223916032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 984162 + ... + 984990.

It is an arithmetic number, because the mean of its divisors is an integer number (27255789).

Almost surely, 2^816213504 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 816213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090231560).

816213504 is an abundant number, since it is smaller than the sum of its proper divisors (1364249616).

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

816213504 is an equidigital number, since it uses as much as digits as its factorization.

816213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 816213504 is about 28569.4505372434. The cubic root of 816213504 is about 934.5472386353.

The spelling of 816213504 in words is "eight hundred sixteen million, two hundred thirteen thousand, five hundred four".