684001152 has 128 divisors (see below), whose sum is σ = 2062195200. Its totient is φ = 223096320.

The previous prime is 684001151. The next prime is 684001181. The reversal of 684001152 is 251100486.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684001151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160327 + ... + 164537.

It is an arithmetic number, because the mean of its divisors is an integer number (16110900).

Almost surely, 2^684001152 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 684001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031097600).

684001152 is an abundant number, since it is smaller than the sum of its proper divisors (1378194048).

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

684001152 is a wasteful number, since it uses less digits than its factorization.

684001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 684001152 is about 26153.4156851452. The cubic root of 684001152 is about 881.0873061360.

The spelling of 684001152 in words is "six hundred eighty-four million, one thousand, one hundred fifty-two".