684875520 has 576 divisors, whose sum is σ = 2943360000. Its totient is φ = 147308544.

The previous prime is 684875509. The next prime is 684875627. The reversal of 684875520 is 25578486.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4596406 + ... + 4596554.

It is an arithmetic number, because the mean of its divisors is an integer number (5110000).

Almost surely, 2^684875520 is an apocalyptic number.

684875520 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 684875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471680000).

684875520 is an abundant number, since it is smaller than the sum of its proper divisors (2258484480).

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

684875520 is a wasteful number, since it uses less digits than its factorization.

684875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 684875520 is about 26170.1264803975. The cubic root of 684875520 is about 881.4625815809.

The spelling of 684875520 in words is "six hundred eighty-four million, eight hundred seventy-five thousand, five hundred twenty".