677131164 has 72 divisors (see below), whose sum is σ = 1779523200. Its totient is φ = 225139824.

The previous prime is 677131163. The next prime is 677131187. The reversal of 677131164 is 461131776.

It is a super-2 number, since 2×677131164² = 917013226519989792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677131163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581647 + ... + 582809.

It is an arithmetic number, because the mean of its divisors is an integer number (24715600).

Almost surely, 2^677131164 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 677131164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889761600).

677131164 is an abundant number, since it is smaller than the sum of its proper divisors (1102392036).

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

677131164 is a wasteful number, since it uses less digits than its factorization.

677131164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1767 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 677131164 is about 26021.7440614575. The cubic root of 677131164 is about 878.1275458427.

It can be divided in two parts, 677 and 131164, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 677131164 in words is "six hundred seventy-seven million, one hundred thirty-one thousand, one hundred sixty-four".