679752 has 40 divisors (see below), whose sum is σ = 1905750. Its totient is φ = 226368.

The previous prime is 679751. The next prime is 679753. The reversal of 679752 is 257976.

679752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (679751) and next prime (679753).

It can be written as a sum of positive squares in only one way, i.e., 443556 + 236196 = 666^2 + 486^2 .

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 (679751) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 124 + ... + 1172.

2⁶⁷⁹⁷⁵² 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 679752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952875).

679752 is an abundant number, since it is smaller than the sum of its proper divisors (1225998).

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

679752 is a wasteful number, since it uses less digits than its factorization.

679752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1054 counting only the distinct ones).

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

The square root of 679752 is about 824.4707393231. The cubic root of 679752 is about 87.9259018123.

It can be divided in two parts, 679 and 752, that added together give a triangular number (1431 = T₅₃).

The spelling of 679752 in words is "six hundred seventy-nine thousand, seven hundred fifty-two".