816497136 has 180 divisors, whose sum is σ = 2828421648. Its totient is φ = 215294976.

The previous prime is 816497107. The next prime is 816497141. The reversal of 816497136 is 631794618.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 816497091 and 816497100.

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 35 ways as a sum of consecutive naturals, for example, 167956 + ... + 172748.

Almost surely, 2^816497136 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 816497136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414210824).

816497136 is an abundant number, since it is smaller than the sum of its proper divisors (2011924512).

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

816497136 is a wasteful number, since it uses less digits than its factorization.

816497136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4818 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 816497136 is about 28574.4140097396. The cubic root of 816497136 is about 934.6554769837.

The spelling of 816497136 in words is "eight hundred sixteen million, four hundred ninety-seven thousand, one hundred thirty-six".