675829152 has 144 divisors (see below), whose sum is σ = 2047368960. Its totient is φ = 210733056.

The previous prime is 675829139. The next prime is 675829153. The reversal of 675829152 is 251928576.

675829152 is a `hidden beast` number, since 67 + 582 + 9 + 1 + 5 + 2 = 666.

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

Its product of digits (302400) is a multiple of the sum of its prime divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 675829098 and 675829107.

It is not an unprimeable number, because it can be changed into a prime (675829153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091499 + ... + 1092117.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^675829152 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 675829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

675829152 is an abundant number, since it is smaller than the sum of its proper divisors (1371539808).

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

675829152 is a wasteful number, since it uses less digits than its factorization.

675829152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 675829152 is about 25996.7142539206. The cubic root of 675829152 is about 877.5643530373.

The spelling of 675829152 in words is "six hundred seventy-five million, eight hundred twenty-nine thousand, one hundred fifty-two".