813962016 has 144 divisors (see below), whose sum is σ = 2662680384. Its totient is φ = 231040512.

The previous prime is 813962011. The next prime is 813962041. The reversal of 813962016 is 610269318.

813962016 is a `hidden beast` number, since 8 + 13 + 9 + 620 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (813962011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327370 + ... + 329846.

It is an arithmetic number, because the mean of its divisors is an integer number (18490836).

Almost surely, 2^813962016 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 813962016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331340192).

813962016 is an abundant number, since it is smaller than the sum of its proper divisors (1848718368).

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

813962016 is a wasteful number, since it uses less digits than its factorization.

813962016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2652 counting only the distinct ones).

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

The square root of 813962016 is about 28530.0195583529. The cubic root of 813962016 is about 933.6871452236.

The spelling of 813962016 in words is "eight hundred thirteen million, nine hundred sixty-two thousand, sixteen".