677160 has 160 divisors (see below), whose sum is σ = 2613600. Its totient is φ = 155520.

The previous prime is 677147. The next prime is 677167. The reversal of 677160 is 61776.

677160 = T₃₆₃ + T₃₆₄ + ... + T₃₇₂.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (677167) by changing a digit.

677160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35631 + ... + 35649.

It is an arithmetic number, because the mean of its divisors is an integer number (16335).

2⁶⁷⁷¹⁶⁰ is an apocalyptic number.

677160 is a gapful number since it is divisible by the number (60) 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 677160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306800).

677160 is an abundant number, since it is smaller than the sum of its proper divisors (1936440).

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

677160 is a wasteful number, since it uses less digits than its factorization.

677160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 677160 is about 822.8973204477. The cubic root of 677160 is about 87.8140010846.

It can be divided in two parts, 67 and 7160, that added together give a palindrome (7227).

The spelling of 677160 in words is "six hundred seventy-seven thousand, one hundred sixty".