817887616 has 128 divisors (see below), whose sum is σ = 2047752000. Its totient is φ = 323334144.

The previous prime is 817887611. The next prime is 817887619. The reversal of 817887616 is 616788718.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817887611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570036 + ... + 571468.

Almost surely, 2^817887616 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 817887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023876000).

817887616 is an abundant number, since it is smaller than the sum of its proper divisors (1229864384).

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

817887616 is a wasteful number, since it uses less digits than its factorization.

817887616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1455 counting only the distinct ones).

The product of its digits is 903168, while the sum is 52.

The square root of 817887616 is about 28598.7345174572. The cubic root of 817887616 is about 935.1857432658.

The spelling of 817887616 in words is "eight hundred seventeen million, eight hundred eighty-seven thousand, six hundred sixteen".