815543040 has 432 divisors, whose sum is σ = 3068894304. Its totient is φ = 182845440.

The previous prime is 815542999. The next prime is 815543041. The reversal of 815543040 is 40345518.

It is a super-2 number, since 2×815543040² = 1330220900184883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 815542989 and 815543007.

It is not an unprimeable number, because it can be changed into a prime (815543041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26307825 + ... + 26307855.

It is an arithmetic number, because the mean of its divisors is an integer number (7103922).

Almost surely, 2^815543040 is an apocalyptic number.

815543040 is a gapful number since it is divisible by the number (80) 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 815543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534447152).

815543040 is an abundant number, since it is smaller than the sum of its proper divisors (2253351264).

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

815543040 is a wasteful number, since it uses less digits than its factorization.

815543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 815543040 is about 28557.7141942418. The cubic root of 815543040 is about 934.2912794941.

Adding to 815543040 its reverse (40345518), we get a palindrome (855888558).

The spelling of 815543040 in words is "eight hundred fifteen million, five hundred forty-three thousand, forty".