676889136 has 720 divisors, whose sum is σ = 2778572160. Its totient is φ = 156764160.

The previous prime is 676889113. The next prime is 676889167. The reversal of 676889136 is 631988676.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2612736) is a multiple of the sum of its prime factors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35625735 + ... + 35625753.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^676889136 is an apocalyptic number.

676889136 is a gapful number since it is divisible by the number (66) 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 676889136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

676889136 is an abundant number, since it is smaller than the sum of its proper divisors (2101683024).

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

676889136 is a wasteful number, since it uses less digits than its factorization.

676889136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 676889136 is about 26017.0931504655. The cubic root of 676889136 is about 878.0229098963.

The spelling of 676889136 in words is "six hundred seventy-six million, eight hundred eighty-nine thousand, one hundred thirty-six".