684703152 has 320 divisors, whose sum is σ = 2506982400. Its totient is φ = 174182400.

The previous prime is 684703141. The next prime is 684703153. The reversal of 684703152 is 251307486.

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

It is not an unprimeable number, because it can be changed into a prime (684703153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976402 + ... + 977102.

It is an arithmetic number, because the mean of its divisors is an integer number (7834320).

Almost surely, 2^684703152 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 684703152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253491200).

684703152 is an abundant number, since it is smaller than the sum of its proper divisors (1822279248).

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

684703152 is a wasteful number, since it uses less digits than its factorization.

684703152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 684703152 is about 26166.8330525496. The cubic root of 684703152 is about 881.3886271732.

The spelling of 684703152 in words is "six hundred eighty-four million, seven hundred three thousand, one hundred fifty-two".