677472 has 24 divisors (see below), whose sum is σ = 1778616. Its totient is φ = 225792.

The previous prime is 677471. The next prime is 677473. The reversal of 677472 is 274776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (677471) and next prime (677473).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677472.

It is not an unprimeable number, because it can be changed into a prime (677471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3433 + ... + 3624.

It is an arithmetic number, because the mean of its divisors is an integer number (74109).

2⁶⁷⁷⁴⁷² is an apocalyptic number.

It is an amenable number.

677472 is an abundant number, since it is smaller than the sum of its proper divisors (1101144).

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

677472 is a wasteful number, since it uses less digits than its factorization.

677472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7062 counting only the distinct ones).

The product of its digits is 16464, while the sum is 33.

The square root of 677472 is about 823.0868726933. The cubic root of 677472 is about 87.8274857173.

The spelling of 677472 in words is "six hundred seventy-seven thousand, four hundred seventy-two".