675060480 has 360 divisors, whose sum is σ = 2564255232. Its totient is φ = 168984576.

The previous prime is 675060479. The next prime is 675060493. The reversal of 675060480 is 84060576.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762369 + ... + 1762751.

Almost surely, 2^675060480 is an apocalyptic number.

675060480 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 675060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282127616).

675060480 is an abundant number, since it is smaller than the sum of its proper divisors (1889194752).

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

675060480 is a wasteful number, since it uses less digits than its factorization.

675060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 410 counting only the distinct ones).

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

The square root of 675060480 is about 25981.9260256048. The cubic root of 675060480 is about 877.2315198804.

The spelling of 675060480 in words is "six hundred seventy-five million, sixty thousand, four hundred eighty".