677269152 has 144 divisors (see below), whose sum is σ = 2272338432. Its totient is φ = 187246080.

The previous prime is 677269129. The next prime is 677269157. The reversal of 677269152 is 251962776.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-5 number, since 5×677269152⁵ (a number of 45 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 677269098 and 677269107.

It is not an unprimeable number, because it can be changed into a prime (677269157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57078 + ... + 67914.

It is an arithmetic number, because the mean of its divisors is an integer number (15780128).

Almost surely, 2^677269152 is an apocalyptic number.

677269152 is a gapful number since it is divisible by the number (62) 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 677269152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136169216).

677269152 is an abundant number, since it is smaller than the sum of its proper divisors (1595069280).

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

677269152 is a wasteful number, since it uses less digits than its factorization.

677269152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10880 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 677269152 is about 26024.3953243875. The cubic root of 677269152 is about 878.1871910243.

The spelling of 677269152 in words is "six hundred seventy-seven million, two hundred sixty-nine thousand, one hundred fifty-two".