677952 has 84 divisors (see below), whose sum is σ = 2139696. Its totient is φ = 203520.

The previous prime is 677947. The next prime is 677953. The reversal of 677952 is 259776.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (677953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6283 + ... + 6389.

2⁶⁷⁷⁹⁵² 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 677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069848).

677952 is an abundant number, since it is smaller than the sum of its proper divisors (1461744).

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

677952 is a wasteful number, since it uses less digits than its factorization.

677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 677952 is about 823.3784063236. The cubic root of 677952 is about 87.8482232241.

The spelling of 677952 in words is "six hundred seventy-seven thousand, nine hundred fifty-two".