816124032 has 256 divisors, whose sum is σ = 2643840000. Its totient is φ = 246693888.

The previous prime is 816124031. The next prime is 816124033. The reversal of 816124032 is 230421618.

816124032 is a `hidden beast` number, since 8 + 1 + 612 + 40 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (816124031) and next prime (816124033).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 816123987 and 816124005.

It is not an unprimeable number, because it can be changed into a prime (816124031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703569 + ... + 1704047.

It is an arithmetic number, because the mean of its divisors is an integer number (10327500).

Almost surely, 2^816124032 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 816124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920000).

816124032 is an abundant number, since it is smaller than the sum of its proper divisors (1827715968).

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

816124032 is a wasteful number, since it uses less digits than its factorization.

816124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 816124032 is about 28567.8846259222. The cubic root of 816124032 is about 934.5130895368.

The spelling of 816124032 in words is "eight hundred sixteen million, one hundred twenty-four thousand, thirty-two".