675591120 has 120 divisors (see below), whose sum is σ = 2274477192. Its totient is φ = 179712000.

The previous prime is 675591107. The next prime is 675591127. The reversal of 675591120 is 21195576.

675591120 is a `hidden beast` number, since 67 + 5 + 591 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 675584064 = 84^2 + 25992^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×675591120² = 912846722845708800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675591127) 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, 374220 + ... + 376020.

Almost surely, 2^675591120 is an apocalyptic number.

675591120 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 675591120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137238596).

675591120 is an abundant number, since it is smaller than the sum of its proper divisors (1598886072).

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

675591120 is a wasteful number, since it uses less digits than its factorization.

675591120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 675591120 is about 25992.1357337176. The cubic root of 675591120 is about 877.4613127318.

The spelling of 675591120 in words is "six hundred seventy-five million, five hundred ninety-one thousand, one hundred twenty".