693920 has 24 divisors (see below), whose sum is σ = 1639764. Its totient is φ = 277504.

The previous prime is 693881. The next prime is 693943. The reversal of 693920 is 29396.

693920 = T₆₉ + T₇₀ + ... + T₁₆₄.

It can be written as a sum of positive squares in 2 ways, for example, as 583696 + 110224 = 764^2 + 332^2 .

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 693920.

It is an unprimeable number.

693920 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 3 ways as a sum of consecutive naturals, for example, 2009 + ... + 2328.

2⁶⁹³⁹²⁰ is an apocalyptic number.

It is an amenable number.

693920 is an abundant number, since it is smaller than the sum of its proper divisors (945844).

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

693920 is a wasteful number, since it uses less digits than its factorization.

693920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 693920 is about 833.0186072352. The cubic root of 693920 is about 88.5325829359.

It can be divided in two parts, 69 and 3920, that multiplied together give a triangular number (270480 = T₇₃₅).

The spelling of 693920 in words is "six hundred ninety-three thousand, nine hundred twenty".