675164160 has 520 divisors, whose sum is σ = 2711679696. Its totient is φ = 159252480.

The previous prime is 675164143. The next prime is 675164177. The reversal of 675164160 is 61461576.

675164160 is a `hidden beast` number, since 6 + 7 + 5 + 1 + 641 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (675164143) and next prime (675164177).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18247662 + ... + 18247698.

Almost surely, 2^675164160 is an apocalyptic number.

675164160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355839848).

675164160 is an abundant number, since it is smaller than the sum of its proper divisors (2036515536).

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

675164160 is a wasteful number, since it uses less digits than its factorization.

675164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 675164160 is about 25983.9211821465. The cubic root of 675164160 is about 877.2764278112.

The spelling of 675164160 in words is "six hundred seventy-five million, one hundred sixty-four thousand, one hundred sixty".