684536832 has 308 divisors, whose sum is σ = 2362663776. Its totient is φ = 194088960.

The previous prime is 684536771. The next prime is 684536837. The reversal of 684536832 is 238635486.

It is a happy number.

684536832 is a `hidden beast` number, since 6 + 84 + 536 + 8 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684536837) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5225407 + ... + 5225537.

Almost surely, 2^684536832 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 684536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181331888).

684536832 is an abundant number, since it is smaller than the sum of its proper divisors (1678126944).

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

684536832 is an equidigital number, since it uses as much as digits as its factorization.

684536832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

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

The square root of 684536832 is about 26163.6547905678. The cubic root of 684536832 is about 881.3172558901.

It can be divided in two parts, 68 and 4536832, that added together give a square (4536900 = 2130²).

The spelling of 684536832 in words is "six hundred eighty-four million, five hundred thirty-six thousand, eight hundred thirty-two".