683993520 has 240 divisors, whose sum is σ = 2650669632. Its totient is φ = 154828800.

The previous prime is 683993489. The next prime is 683993543. The reversal of 683993520 is 25399386.

683993520 is a `hidden beast` number, since 6 + 8 + 39 + 93 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568920 + ... + 570120.

Almost surely, 2^683993520 is an apocalyptic number.

683993520 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 683993520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325334816).

683993520 is an abundant number, since it is smaller than the sum of its proper divisors (1966676112).

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

683993520 is a wasteful number, since it uses less digits than its factorization.

683993520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 683993520 is about 26153.2697764543. The cubic root of 683993520 is about 881.0840291028.

The spelling of 683993520 in words is "six hundred eighty-three million, nine hundred ninety-three thousand, five hundred twenty".