684502272 has 144 divisors (see below), whose sum is σ = 2039748480. Its totient is φ = 226418688.

The previous prime is 684502237. The next prime is 684502277. The reversal of 684502272 is 272205486.

684502272 is a `hidden beast` number, since 6 + 84 + 502 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684502277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154008 + ... + 1154600.

It is an arithmetic number, because the mean of its divisors is an integer number (14164920).

Almost surely, 2^684502272 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 684502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019874240).

684502272 is an abundant number, since it is smaller than the sum of its proper divisors (1355246208).

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

684502272 is a wasteful number, since it uses less digits than its factorization.

684502272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 684502272 is about 26162.9943240448. The cubic root of 684502272 is about 881.3024240429.

The spelling of 684502272 in words is "six hundred eighty-four million, five hundred two thousand, two hundred seventy-two".