815164416 has 396 divisors, whose sum is σ = 2803096296. Its totient is φ = 227082240.

The previous prime is 815164387. The next prime is 815164453. The reversal of 815164416 is 614461518.

815164416 is a `hidden beast` number, since 8 + 1 + 5 + 1 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×815164416² = 1328986050225242112, which contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18957291 + ... + 18957333.

It is an arithmetic number, because the mean of its divisors is an integer number (7078526).

Almost surely, 2^815164416 is an apocalyptic number.

815164416 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401548148).

815164416 is an abundant number, since it is smaller than the sum of its proper divisors (1987931880).

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

815164416 is a wasteful number, since it uses less digits than its factorization.

815164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 815164416 is about 28551.0843226663. The cubic root of 815164416 is about 934.1466724281.

The spelling of 815164416 in words is "eight hundred fifteen million, one hundred sixty-four thousand, four hundred sixteen".