677152 has 24 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 290112.

The previous prime is 677147. The next prime is 677167. The reversal of 677152 is 251776.

It is a super-3 number, since 3×677152³ = 931493333855207424, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 677152.

It is an unprimeable number.

677152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1288 + ... + 1735.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

2⁶⁷⁷¹⁵² is an apocalyptic number.

It is an amenable number.

677152 is an abundant number, since it is smaller than the sum of its proper divisors (846944).

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

677152 is a wasteful number, since it uses less digits than its factorization.

677152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3032 counting only the distinct ones).

The product of its digits is 2940, while the sum is 28.

The square root of 677152 is about 822.8924595596. The cubic root of 677152 is about 87.8136552703.

The spelling of 677152 in words is "six hundred seventy-seven thousand, one hundred fifty-two".