675142080 has 224 divisors, whose sum is σ = 2327330880. Its totient is φ = 165150720.

The previous prime is 675142079. The next prime is 675142081. The reversal of 675142080 is 80241576.

It is an interprime number because it is at equal distance from previous prime (675142079) and next prime (675142081).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675142081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668616 + ... + 669624.

It is an arithmetic number, because the mean of its divisors is an integer number (10389870).

Almost surely, 2^675142080 is an apocalyptic number.

675142080 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 675142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163665440).

675142080 is an abundant number, since it is smaller than the sum of its proper divisors (1652188800).

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

675142080 is a wasteful number, since it uses less digits than its factorization.

675142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 675142080 is about 25983.4963005366. The cubic root of 675142080 is about 877.2668644705.

The spelling of 675142080 in words is "six hundred seventy-five million, one hundred forty-two thousand, eighty".