693840 has 120 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 155904.

The previous prime is 693829. The next prime is 693851. The reversal of 693840 is 48396.

It is an interprime number because it is at equal distance from previous prime (693829) and next prime (693851).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 693798 and 693807.

It is a congruent number.

It is an unprimeable number.

693840 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 23 ways as a sum of consecutive naturals, for example, 11731 + ... + 11789.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2⁶⁹³⁸⁴⁰ is an apocalyptic number.

693840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

693840 is an abundant number, since it is smaller than the sum of its proper divisors (1850640).

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

693840 is a wasteful number, since it uses less digits than its factorization.

693840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 693840 is about 832.9705877160. The cubic root of 693840 is about 88.5291805846.

The spelling of 693840 in words is "six hundred ninety-three thousand, eight hundred forty".