146860560 has 320 divisors, whose sum is σ = 631388160. Its totient is φ = 30481920.

The previous prime is 146860559. The next prime is 146860561. The reversal of 146860560 is 65068641.

146860560 is a `hidden beast` number, since 1 + 46 + 8 + 605 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146860559) and next prime (146860561).

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

It is not an unprimeable number, because it can be changed into a prime (146860561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165879 + ... + 166761.

It is an arithmetic number, because the mean of its divisors is an integer number (1973088).

Almost surely, 2^146860560 is an apocalyptic number.

146860560 is a gapful number since it is divisible by the number (10) 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 146860560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315694080).

146860560 is an abundant number, since it is smaller than the sum of its proper divisors (484527600).

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

146860560 is a wasteful number, since it uses less digits than its factorization.

146860560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 146860560 is about 12118.6038799855. The cubic root of 146860560 is about 527.5962822984.

The spelling of 146860560 in words is "one hundred forty-six million, eight hundred sixty thousand, five hundred sixty".