675506160 has 360 divisors, whose sum is σ = 2709107856. Its totient is φ = 150312960.

The previous prime is 675506129. The next prime is 675506177. The reversal of 675506160 is 61605576.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1446247 + ... + 1446713.

Almost surely, 2^675506160 is an apocalyptic number.

675506160 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 675506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354553928).

675506160 is an abundant number, since it is smaller than the sum of its proper divisors (2033601696).

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

675506160 is a wasteful number, since it uses less digits than its factorization.

675506160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 675506160 is about 25990.5013418364. The cubic root of 675506160 is about 877.4245290243.

The spelling of 675506160 in words is "six hundred seventy-five million, five hundred six thousand, one hundred sixty".