677616 has 40 divisors (see below), whose sum is σ = 1845120. Its totient is φ = 213696.

The previous prime is 677587. The next prime is 677627. The reversal of 677616 is 616776.

677616 = T₂₈₃ + T₂₈₄ + ... + T₂₉₈.

677616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

677616 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 7 ways as a sum of consecutive naturals, for example, 541 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

2⁶⁷⁷⁶¹⁶ 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 677616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922560).

677616 is an abundant number, since it is smaller than the sum of its proper divisors (1167504).

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

677616 is a wasteful number, since it uses less digits than its factorization.

677616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 677616 is about 823.1743436235. The cubic root of 677616 is about 87.8337079975.

Multiplying 677616 by its sum of digits (33), we get a triangular number (22361328 = T₆₆₈₇).

The spelling of 677616 in words is "six hundred seventy-seven thousand, six hundred sixteen".