817621672 has 64 divisors (see below), whose sum is σ = 1828915200. Its totient is φ = 335362560.

The previous prime is 817621669. The next prime is 817621691. The reversal of 817621672 is 276126718.

It is a super-3 number, since 3×817621672³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118329 + ... + 125047.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 2^817621672 is an apocalyptic number.

817621672 is a gapful number since it is divisible by the number (82) 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 817621672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

817621672 is an abundant number, since it is smaller than the sum of its proper divisors (1011293528).

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

817621672 is a wasteful number, since it uses less digits than its factorization.

817621672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6822 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 817621672 is about 28594.0845630700. The cubic root of 817621672 is about 935.0843707406.

The spelling of 817621672 in words is "eight hundred seventeen million, six hundred twenty-one thousand, six hundred seventy-two".