677040 has 160 divisors (see below), whose sum is σ = 2666496. Its totient is φ = 138240.

The previous prime is 677029. The next prime is 677041. The reversal of 677040 is 40776.

677040 is a nontrivial binomial coefficient, being equal to C(65, 4).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 677040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677041) by changing a digit.

677040 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 31 ways as a sum of consecutive naturals, for example, 21825 + ... + 21855.

2⁶⁷⁷⁰⁴⁰ is an apocalyptic number.

677040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

677040 is the 672-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333248).

677040 is an abundant number, since it is smaller than the sum of its proper divisors (1989456).

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

677040 is a wasteful number, since it uses less digits than its factorization.

677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 677040 is about 822.8244041106. The cubic root of 677040 is about 87.8088135845.

The spelling of 677040 in words is "six hundred seventy-seven thousand, forty".