684935424 has 108 divisors (see below), whose sum is σ = 1982616636. Its totient is φ = 227414016.

The previous prime is 684935411. The next prime is 684935429. The reversal of 684935424 is 424539486.

684935424 is a `hidden beast` number, since 68 + 49 + 3 + 542 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 352237824 + 332697600 = 18768^2 + 18240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 684935424.

It is not an unprimeable number, because it can be changed into a prime (684935429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858994 + ... + 859790.

Almost surely, 2^684935424 is an apocalyptic number.

684935424 is a gapful number since it is divisible by the number (64) 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 684935424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991308318).

684935424 is an abundant number, since it is smaller than the sum of its proper divisors (1297681212).

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

684935424 is a wasteful number, since it uses less digits than its factorization.

684935424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1175 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 684935424 is about 26171.2709664624. The cubic root of 684935424 is about 881.4882804578.

The spelling of 684935424 in words is "six hundred eighty-four million, nine hundred thirty-five thousand, four hundred twenty-four".