146879568 has 100 divisors (see below), whose sum is σ = 463803648. Its totient is φ = 44504640.

The previous prime is 146879549. The next prime is 146879569. The reversal of 146879568 is 865978641.

146879568 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 79 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146879569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9105 + ... + 19407.

Almost surely, 2^146879568 is an apocalyptic number.

146879568 is a gapful number since it is divisible by the number (18) 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 146879568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231901824).

146879568 is an abundant number, since it is smaller than the sum of its proper divisors (316924080).

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

146879568 is a wasteful number, since it uses less digits than its factorization.

146879568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334 (or 10319 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 146879568 is about 12119.3881033656. The cubic root of 146879568 is about 527.6190433844.

The spelling of 146879568 in words is "one hundred forty-six million, eight hundred seventy-nine thousand, five hundred sixty-eight".