693864 has 48 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 220704.

The previous prime is 693859. The next prime is 693871. The reversal of 693864 is 468396.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

693864 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 11 ways as a sum of consecutive naturals, for example, 1447 + ... + 1865.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁶⁹³⁸⁶⁴ 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 693864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

693864 is an abundant number, since it is smaller than the sum of its proper divisors (1271736).

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

693864 is a wasteful number, since it uses less digits than its factorization.

693864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 693864 is about 832.9849938624. The cubic root of 693864 is about 88.5302013174.

The spelling of 693864 in words is "six hundred ninety-three thousand, eight hundred sixty-four".