675088416 has 72 divisors (see below), whose sum is σ = 1926173340. Its totient is φ = 224280576.

The previous prime is 675088409. The next prime is 675088423. The reversal of 675088416 is 614880576.

It is a happy number.

675088416 is a `hidden beast` number, since 67 + 508 + 84 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (675088409) and next prime (675088423).

It can be written as a sum of positive squares in 2 ways, for example, as 595164816 + 79923600 = 24396^2 + 8940^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×675088416³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86400 + ... + 93888.

Almost surely, 2^675088416 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 675088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963086670).

675088416 is an abundant number, since it is smaller than the sum of its proper divisors (1251084924).

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

675088416 is a wasteful number, since it uses less digits than its factorization.

675088416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 675088416 is about 25982.4636245295. The cubic root of 675088416 is about 877.2436205254.

The spelling of 675088416 in words is "six hundred seventy-five million, eighty-eight thousand, four hundred sixteen".