670761 has 45 divisors (see below), whose sum is σ = 1262151. Its totient is φ = 353808.

The previous prime is 670739. The next prime is 670763. The reversal of 670761 is 167076.

The square root of 670761 is 819.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 571536 = 315^2 + 756^2 .

It is not a de Polignac number, because 670761 - 2⁵ = 670729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (670763) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51591 + ... + 51603.

2⁶⁷⁰⁷⁶¹ is an apocalyptic number.

670761 is the 819-th square number.

670761 is the 410-th centered octagonal number.

It is an amenable number.

670761 is a deficient number, since it is larger than the sum of its proper divisors (591390).

670761 is a wasteful number, since it uses less digits than its factorization.

670761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The cubic root of 670761 is about 87.5365180904.

Multiplying 670761 by its product of nonzero digits (1764), we get a square (1183222404 = 34398²).

It can be divided in two parts, 670 and 761, that added together give a triangular number (1431 = T₅₃).

The spelling of 670761 in words is "six hundred seventy thousand, seven hundred sixty-one".