816695040 has 288 divisors, whose sum is σ = 3112897536. Its totient is φ = 178421760.

The previous prime is 816695027. The next prime is 816695059. The reversal of 816695040 is 40596618.

It is a self number, because there is not a number n which added to its sum of digits gives 816695040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617580 + ... + 618900.

It is an arithmetic number, because the mean of its divisors is an integer number (10808672).

Almost surely, 2^816695040 is an apocalyptic number.

816695040 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 816695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556448768).

816695040 is an abundant number, since it is smaller than the sum of its proper divisors (2296202496).

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

816695040 is a wasteful number, since it uses less digits than its factorization.

816695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 816695040 is about 28577.8767580798. The cubic root of 816695040 is about 934.7309853584.

The spelling of 816695040 in words is "eight hundred sixteen million, six hundred ninety-five thousand, forty".