677460 has 48 divisors (see below), whose sum is σ = 2169216. Its totient is φ = 154752.

The previous prime is 677459. The next prime is 677461. The reversal of 677460 is 64776.

It is an interprime number because it is at equal distance from previous prime (677459) and next prime (677461).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (45192).

2⁶⁷⁷⁴⁶⁰ is an apocalyptic number.

677460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677460 is an abundant number, since it is smaller than the sum of its proper divisors (1491756).

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

677460 is a wasteful number, since it uses less digits than its factorization.

677460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 677460 is about 823.0795830295. The cubic root of 677460 is about 87.8269671541.

The spelling of 677460 in words is "six hundred seventy-seven thousand, four hundred sixty".